A. Ph.D.
exams
The following persons have
finished their PhD exams in mathematics with Lars-Erik
Persson as a main supervisor:
1. Nils Svanstedt
1992. Main direction of research: Nonlinear PDE, Homogenization Theory. Current
position: Professor in mathematics at Chalmers University, Gothenburg, Sweden.
Title of PhD thesis: G-convergence and Homogenization of Sequences of Linear
and Nonlinear Partial Differential Operators.
(L1)Title of Licentiate thesis (1990): Homogenization of some Scales of Partial
Differential Equations.
2. Thomas Strömberg
1994. Main direction of research: Variational
Analysis, Convexity Theory, Hamilton-Jacobi Equations. Current position:
Associate Professor and Docent in mathematics at Luleå University of
Technology.
Title of PhD thesis: A study of the Operation of Infimal Convolution.
(L2)Title of Licentiate thesis (1992): On Infimal Convolution
and a Related Operation Connected to a Young-type Inequality with Applications.
3. Andrejs
Dunkels 1996. Main direction of research:
Mathematics Education. Remark: Professor Henning Johansson, Centre for research
in teaching and education at Luleå University of Technology, was the supervisor
concerning the didactical part of this thesis.
Title of PhD thesis: Contributions to Mathematical Knowledge and its
Acquisition.
4. Anders Holmbom
1996. Main direction of research: Analysis, Homogenization Theory. Current
position: Pyofessor in mathematics at Mid-Sweden
University in Östersund, Sweden.
Title of PhD thesis: Some Modes of Convergence and their Application to
Homogenization and Optimal Composites Design.
(L3)Title of Licentiate thesis (1993): Homogenization Applied to some Problems
in Mechanics.
5. Dag Lukkassen
1996. Main direction of research: Nonlinear PDE, Homogenization Theory. Current
position: Professor in mathematics at Narvik
Institute of Technology, Narvik, Norway.
Title of PhD thesis: Formulae and Bounds Connected to Optimal Design and
Homogenization of Partial differential Operators and Integral Functionals.
6. Stefan Ericsson 1997.
Main direction of research: Interpolation Theory, Wavelets Theory. Current
position: Associate Professor in mathematics at Luleå University of Technology,
Sweden.
Title of PhD thesis: Contributions to Real Interpolation Theory.
7. Niklas Wellander 1998. Main direction of research: Nonlinear
PDE, Homogenization Theory. Current position: Researcher at FOA Defence Research Establisment in
Sweden and parttime Professor at University of Lund.
Title of PhD thesis: Homogenization of some Linear and Nonlinear Partial
Differential Equations.
(L4) Title of Licentiate thesis (1992): Mathematical and Numerical Modelling of the Induced Polarization Phenomenon.
8. Marianna Euler 1998. Main
direction of research: Nonlinear Differential Equations, Grouptheoretic
methods for solutions. Current position: Associate Professor and Docent in
mathematics at Luleå University of Technology, Sweden.
Title of PhD thesis: Some Theoretical Methods for Solving Multidimensional
Nonlinear Partial Differential Equations.
9. Peter Wall 1998. Main direction of
research: Nonlinear PDE, Homogenization Theory. Current position:
Professor in mathematics at Luleå University of Technology, Sweden.
Title of PhD thesis: Homogenization of some Partial differential Operators and
Integral Functionals.
(L5) Title of Licentiate thesis (1994). Optimal Bounds on the Effective Properties of Multiphase Materials
by Homogenization.
10. Sorina
Barza 2000. Main direction of research:
Inequalities, Functional Analysis. Current position: Associate Professor and
docent in mathematics at Karlstad University, Sweden.
Title of PhD thesis: Weighted Multidimensional Integral Inequalities and
Applications.
(L6) Title of Licentiate thesis (1997): Some Sharp Multidimensional Integral
Inequalities.
11. Ove Lindblom 2001. Main direction of research: Nonlinear
PDE, Grouptheoretic methods for solutions. Current
position: Associate Professor in mathematics at University of Gävle/ Sandviken.
Title of PhD thesis: Painlevé Analysis and
Transformations for Nonlinear Partial Differential Equations.
(L7)Title of Licentiate thesis (1997): Investigations of Bending Waves in
Plates and Properties of Nonlinear Wave Equations.
12. Johan Byström
2002. Main direction of research: Homogenization Theory, Nonlinear PDE,
Applications to Composites Engineering. Current position: Senior Researcher at Luleå University of Technology.
Title of PhD thesis: Some Mathematical and Engineering Aspects of the
Homogenization Theory.
(L8)Title of Licentiate thesis (1999): Some New Developments and
Applications of the Homogenization Theory.
13. Maria Nassyrova
2002. Main direction of research: Inequalities, Functional Analysis.
Current position: Senior Researcher at Khabarovsk State University, Russia.
Title of PhD thesis: Weighted Inequalities Involving Hardy-type and Limiting
Geometric Mean Operators.
14. Niklas Grip
2003. Main direction of research: Gabor and Wavelets theory, Applications to
Signal Processing. Current position: Senior Researcher in Applied Mathematics
at Luleå University of Technology (with support of Swedish National Research
Council).
Title of PhD thesis: Wavelet and Gabor Frames and Bases - Approximation,
Sampling and Applications.
(L9)Title of Licentiate thesis (2000): Hilbert Space Frames and Bases-A
Comparison of Gabor and Wavelet Frames and Applications to Multicarrier Digital
Communications.
15. Leon Simula
2003. Main direction of research: Homogenization Theory, Nonlinear PDE,
Applications to Composites Engineering. Current position: Researcher at Narvik Institute of Technology, Norway.
Title of PhD thesis: Homogenization Theory for Structures of Honeycomb and
Chessboard Structures.
(L10)Title of Licentiate thesis (2001): Some Recent Developments of the
Homogenization Theory with Applications.
16. Dmtry
Prokhorov 2003. Main direction of research: Inequalities, Functional
Analysis. Current position: Senior Researcher at Khabarovsk State University,
Russia.
Title of PhD thesis: Weighted Inequalities Involving Riemann-Liouville and Hardy-type Operators.
17. Anna Wedestig
2004. Main direction of research: Inequalities, Functional Analysis. Current
position: Senior Lecturer at Luleå Gymnasium.
Title of PhD thesis: Weighted Inequalities of Hardy-Type and their Limiting
Inequalities.
(L11)Title of Licentiate thesis (1999): Contributions to the Theory of
Inequalities.
18. Evgueny Kuznetsov 2005. Main direction of research: Analysis.
Current position: Senior Researcher in Applied Mathematics at Luleå University
of Technology.
Title of PhD thesis: Maximal Theorems and Calderón-Zygmund
Type Decompositions for the Fractional Maximal Function.
19. Jonas Engström
2005. Main direction of research: Homogenization Theory, Nonlinear PDE,
Applications to Composites Engineering. Current position: Senior researcher and
developer at SICOMP, Piteå.
Title of PhD thesis: Some Developments of the Homogenization Theory and Related
Questions.
(L12)Title of Licentiate thesis (2002): Some Contributions to Homogenization
Theory.
20. Aigerim Kalybay 2006. Main direction of research:
Inequalities, Functional Analysis. Current position: Associate Professor in
mathematics at Eurasian National University, Astana, Kazakhstan.
Title of PhD thesis: A New Development of Nikolskii-Lizorkin
and Hardy Type Inequalities with Applications.
21. Christopher Okpoti 2006. Main direction of research:
Inequalities, Functional Analysis. Current position: Associate Professor in
mathematics at University of Winneba, Ghana. Dean of the Department.
Title of PhD thesis: Weight Characterizations of Hardy and Carleman
Type Inequalities.
(L13)Title of Licentiate thesis (2005): Weight Characterizations of Discrete
Hardy and Carleman Type Inequalities.
22. Elena Ushakova
2006. Main direction of research: Inequalities, Functional Analysis. Current
position: Senior Researcher at Khabarovsk State University, Russia.
Title of PhD thesis: Norm Inequalities of Hardy and Pólya-Knopp
Types.
23. Komil Kuliev 2007. Main direction of research
: Parabolic Problems in PDE. The Method of Rothe. Current position: Associate Professor at
University of West Bohemia, Czech Republic.
Title of PhD thesis: Parabolic Problems on Noncylindrical
Domains - The Method of Rothe.
(L14) Title of Licentiate thesis (2006): Parabolic Problems on Noncylindrical Domains - The Method of Rothe.
24. Gulchehra Kulieva 2007. Main direction of research
: Parabolic Problems in PDE. The Method of Rothe. Current position: Teaching position at
University of West Bohemia, Czech Republic.
Title of PhD thesis: Some Special Problems in Elliptic and Parabolic Variational Inequalities.
(L15) Title of Licentiate thesis (2006): Some Special Problems in Elliptic and
Parabolic Variational Inequalities.
25. Maria Johansson 2008. Main
direction of research : Inequalities. Current
position: "Doktorand" at Luleå University of Technology.
Title of PhD thesis: Carleman Type Inequalities and
Hardy Type Inequalities for Monotone Functions.
(L16) Title of Licentiate thesis (2004): Hardy and Carleman
Type Inequalities.
26. Emmanuel Kwame Essel
2008. Main direction of research : Homogenization
Theory, Nonlinear PDE, Applications in Tribology. Current position: Associate
Professor and Dean at University of Cape Coast, Ghana
Title of PhD thesis: Homogenization of Reynolds Equations and of some Parabolic
Problems via Rothe´s Method.
(L17)Title of Licentiate thesis (2007): Homogenization of Reynolds Equations.
27. Zamira Abdikalikova. 2009. Main direction of research : Inequalities, Functional Analysis. Current
position: Associate Professor at Eurasian National University, Astana, Kazakhstan
Title of PhD thesis: Some new Results concerning Boundedness
and Compactness for Embeddings between Spaces with Multiweighted
Derivatives.
(L18)Title of Licentiate thesis : Embedding Theorems
for Spaces with Multiweighted Derivatives.
28. Ainur Temirkhanova. 2009. Main direction of research : Inequalities, Functional Analysis. Current
position: Associate Professor at Eurasian National University, Astana,
Kazakhstan.
Title of PhD thesis: Boundedness and Compactness of
the Matrix Operators in Weighted Spaces of Sequences.
(L19)Title of Licentiate thesis (2009): Some New Boundedness
and Compactness Results for Discrete Hardy Type Operators with Kernels.
29. Guy Beeri 2009.
Main direction of research : Homogenization Theory,
Nonlinear PDE, Applications in Material Sciences. Current position: Associate
Professor at Narvik University College, Norway.
Title of PhD thesis: Some Mathematical, Numerical and Engineering Aspects of
Composite Structures and Perforated Solids.
30. Irina Pankratova
2009. Main direction of research : Homogenization
theory, Nonlinear PDE, Applications in Material Sciences. Current
position: Associate Professor at Narvik University
College, Norway.
Title of PhD thesis: Homogenization of Elliptic Equations in Thin Cylinders and
Related Qualitative Problems.
(L21) Title of Licentiate thesis: Convection-Diffusion Equation in Unbounded
Cylinder and Related Homogenization Problems.
31. Anca-Nicoleta Marcoci 2010. Main direction of research
: Functional Analysis, Function Spaces, Inequalities. Current
position: Associate Professor at Technical University of Civil
Engineering, Bucharest, Romania.
Title of PhD thesis: Some New Results Concerning Banach
Spaces of Infinite Matrices and Lorentz Sequence Spaces.
(L22)Title of Licentiate thesis (2009): Some New Results Concerning Lorentz
Sequence Spaces and Schur Multipliers.
32. Liviu-Gabriel Marcoci 2010. Main direction of research
: Functional Analysis, Function Spaces, Inequalities. Current
position: Associate Professor at Technical University of Civil
Engineering, Bucharest, Romania.
Title of PhD thesis: A Study of Schur Multipliers and
some Banach Spaces of Infinite Matrices.
(L23)Title of Licentiate thesis (2009): Some New Results Concerning Schur Multipliers and Duality Results Between
Bergman-Schatten and Little Bloch Spaces.
33. Kristina Krulic 2010. Main direction of research :
Functional Analysis, Inequalities. Current position: Associate
Professor at University of Zagreb, Croatia.
Title of PhD thesis: Generalizations and Refinements of Hardy´s Inequality.
34. Yulia Koroleva 2010. Main direction of research
: Homogenization theory, Nonlinear PDE, Inequalities. Current
position: Researcher at Moscow Lomonosov State
University, Moscow, Russia.
Title of PhD thesis: Integral Inequalities of Hardy and Friedrichs
types with Applications to Homogenization Theory.
(L24) Title of Licentiate thesis: Some New Friedrichs-Type
Inequalities in Domains with Microhomogeneous
Structure.
35. Klas
Pettersson 2010. Main direction of research
: Homogenization theory, Nonlinear PDE. Current position:
Associate Professor at Narvik University College
Title of PhD thesis: Homogenization of Some Elliptic Equations with Connections
to Elasticity.
36. John Fabricius 2011. Main direction of research: Homogenization
theory, Nonlinear PDE, Applications in Tribology. Current position:
Junior Lecturer position at Luleå University of
Technology.
Title of PhD thesis: Homogenization of some problems in hydrodynamic
lubrication involving rough boundaries.
(L25) Title of Licentiate thesis: Homogenization theory with applications in
Tribology.
37. Lyazzat
Sarybekova 2011. Main direction of research:
Inequalities, Functional Analysis, Fourier Multipliers. Current position:
Associate Professor at Eurasian National University.
Title of PhD thesis: Some new Fourier Multiplier Results of Lizorkin
and Hörmander Types.
(L26) Title of Licentiate thesis: Some new Lizorkin
Multiplier Theorems for Fourier Series and Transforms.
38. Aigerim
Kopezhanova 2012. Main direction of research : Inequalities, Fourier Analysis. Current
position: Associate Professor at Eurasian National University.
Title of PhD thesis: Hardy-Littlewood Type
Inequalities in Generalized Lorentz Spaces.
(L27) Title of Licentiate thesis: Relations Between
Functions from some Lorentz Type Spaces and Summability
of Their Fourier Coefficients.
39. Olga Popova 2012. Main direction of research :
Inequalities. Current position: Researcher at Moscow Lomonosov State University, Moscow, Russia.
Title of PhD thesis: Weighted Hardy-Type Inequalities on the Cones of Monotone
and Quasi-Concave Functions.
(L28) Title of Licentiate thesis: Hardy-Type Inequalities on Cones of Monotone
Functions.
40. Alessandra Ragusa 2012
Main direction of research : Nonlinear PDE, Function
Spaces. Current position: Associate Professor at University of
Catania.
Title of PhD thesis: Partial Differential Equations and Systems Related to Morrey Spaces.
* The following persons
have finished their PhD exams in "Matematik och Lärande" (Mathematics
Education) with Lars-Erik Persson as supervisor in
mathematics (and Professor Barbro Grevholm (and Rudolf Strässer
for 43.)) supervisor in didactics:
41. Kristina Juter
2006. Main direction of research: Mathematics Education. Current position:
Senior Lecturer at Kristianstad
University, Research Assistant position at Växjö
University.
Title of PhD thesis: Limits of Functions - University Students´ Concept
Development.
(L29)Title of Licentiate thesis (2003): Learning Limits of Functions -
University Students´ Development During a Basic Course
in Mathematics.
42. Örjan Hansson
2006. Main direction of research: Mathematics Education. Current
position: Senior Lecturer at Kristianstad University.
Title of PhD thesis: Studying the Views of Preservice
Teachers on the Concept of Function.
(L30)Title of Licentiate thesis (2004): Preservice
Teachers´ view on the Concept of Function - A Study Including the Utilization
of Concepts Maps.
43. Monica Johansson 2006. Main direction
of research: Mathematics Education. Current position: Research Assistant
position at Luleå University of Technology.
Title of PhD thesis: Teaching Mathematics with Textbooks - A Classroom and
Curricular Perspective.
(L31)Title of Licentiate thesis (2004): Textbooks in Mathematics Education - A
Study of Textbooks as the Potentially Implemented Curriculum.
44. Per-Eskil Persson 2010. Main direction of research: Mathematics
Education. Current position: Lecturer at Malmö University. Title of PhD thesis:
Räkna med bokstäver-En longitudinell studie till förbätrad algebraundervisning
på gymnasienivå. In Swedish.
(L32)Title of Licentiate thesis: Bokstavliga
Svårigheter - Faktorer som påverkar gymnasieelevers algebralärande. In Swedish.
Moreover,
* The following person has
finished her PhD exam at NTNU, Trondheim, with Lars-Erik Persson
as thesis advisor and supervisor in mathematics:
45. Annette Meidell
2001. Main direction of research: Engineering design, effective properties and
design of inhomogeneous structures, applications of homogenization to
Composites Engineering. Current position: Professor at Narvik
Institute of Technology. The advisor for the applied part was Professor Steffen Zeuthen.
Title of PhD thesis: Homogenization and Computational Methods for Calculating
Effective Properties of some Cellular Solids and Composite Structures.
* The following persons
have finished their PhD exams in mathematics at Uppsala University with
Lars-Erik Persson as a supervisor (in both cases with
Professor Svante Janson as
formal mainsupervisor):
46. Leo Larsson 2003. Main direction of
research: Inequalities, Functional Analysis, Current
position: Researcher and developer at a company for computer games.
Title of PhD thesis: Carlson Type Inequalities and their Applications.
47. Alice Lesser 2007. Main direction of
research: Graf Theory, Optimal and Hereditarily Optimal Realizations of Metric
Spaces with Applications. Current position:
Title of PhD thesis: Optimal and Hereditarily Optimal Realizations of Metric
Spaces.
* The
following person has finished his PhD exam in scientific computing in a cooperation
between Uppsala University and University of Dar es
Salaam with Lars-Erik Persson and Professor Bertil Gustafsson as joint mainsupervisors:
48. Narsis Mtega 2005. Main direction of research: Scientific
computing, beach erosion problems. Current position: Associate Professor and
Dean at Department of Scientific Computing, University of Dar es Salaam.
Title of PhD thesis: Mathematical Modeling and Numerical Solution of Run-up
Waves on a Sloping Beach Extended with an Artificial Bottom.
* The
following person has finished his PhD exam in mathematics at Uppsala University
with Lars-Erik Person as co-supervisor (Professor Warwick Tucker was the main
supervisor):
49. Tomas Johnson 2009. Main direction
of research : Computer-aided Proofs in Analysis.
Current position: Research Assistant at Uppsala University with support of
Swedish Research Council and a special European grant.
Title of PhD thesis:Computer-aided
Computation of Abelian Integrals and Robust Normal
Forms.
(L33) Title of Licentiate thesis (2007): On some Computer-aided Proofs in
Analysis.
B.
Licentiate exams
In addition to those
mentioned in part A above the following persons have finished their Licentiate
exams in mathematics with Lars-Erik Persson as a main supervisor:
L34. Anna Klisinska
2000. Main direction of research in mathematics: Function Spaces and Inequalities.
Current position: Associate Professor in mathematics education at Luleå University of Technology. Title of Licentiate thesis:
Clarkson Type Inequalities and Geometric Properties of Banach
Spaces.
Remark: Klisinska has 2009 finished a PhD in Mathematics
Education with Lars-Erik Persson as a co-supervisor
(Title of PhD thesis: The Fundamental Theorem of Calculus. A
case study into the didactic transposion of proof.)
L35. Stein Arnold Berggren 2001. Main direction of research: Homogenization Theory,
Nonlinear PDE, Applications to Composites Engineering.
Title of Licentiate thesis: Some Theoretical, Numerical and Technical Aspects
of the Homogenization Theory.
L36. Erik Alapää
2004. Main direction of research : Error-correcting
codes, Homogenization Theory, Nonlinear PDE.
Remark: This was a cooperation between Chalmers
University of Technology (Professor Jöran Bergh), Narvik University College (Professor Dag Lukkassen) and Luleå University
of Technology (Professor Lars-Erik Persson).
Title of Licentiate thesis: Topics in Applied Mathematics-Error-correcting
Codes and Homogenization of PDE.
L37. Elin
Johansson 2005. Main direction of research :
Wavelets Theory with Applications to Signal Processing.
Title of Licentiate thesis: Wavelet Theory and some of its Applications.
L38. Johan Dasht
2005. Main direction of research : Homogenization
Theory, Nonlinear PDE.
Title of Licentiate thesis: Some Developments of Homogenization Theory and Rothe´s Method.
L39. Reinhold Näslund
2005. Main direction of research : Conditional
Symmetries of PDE, Mathematical Physics. Current position: Lecturer in
mathematics at Luleå University of Technology.
Title of Licentiate thesis: Some Studies within Applied Mathematics with Focus
on Conditional Symmetries of Partial Differential Equations and Bending Waves
in Plates.
L40. Larissa
Arendarenko 2012. Main direction of research : Inequalities. Function Spaces. Current position:
“Doctorand” in mathematics at Eurasian National
University, Kazakhstan.
Title of Licentiate thesis: Hardy-Type Inequalities for Integraloperators
with Kernels.
The following person has
finished his Licentiate exam in Applied Mathematics at Mid-Sweden University
with Lars-Erik Persson
as a supervisor
L41. Marie Ohlsson Lundh 2009. Main
direction of research : Scientific Computing,
Mathematical Modelling, Sports Engineering. Current
position: Associate Professor at Mid-Sweden university.
Title of Licentiate thesis: New Methods for Movement Technique Development in
Cross-country Skiing Using Mathematical Models and Simulation.
The following persons have
finished their Licentite exams in "Matematik och Lärande"
(Mathematics Education) with Lars-Erik Persson as a supervisor:
L42. Anna Brändström
2003. Current position: Junior Lecturer in mathematics and teaching at Luleå University of Technology.
Title of Licentiate thesis: Differentiated Tasks in Mathematics Textbooks - An
Analysis of the Levels of Difficulty.
L 43. Teresia Jacobsson-Åhl 2006.
Current position:
Title of the Licentiate thesis: Algebra in Upper Secondary Mathematics - A
Study of a Selection of Textbooks used in the years 1960-2000 in Sweden.
L 44. Lisbeth
Lindberg 2010. Current position: Teacher at University of Gothenburg.
Title of the Licentiate thesis: Matematiken i
yrkesutbildningen. Möjligheter och begränsningar. In Swedish.
The following person has
finished her Licentite exam in "Pedagogics
"with Lars-Erik Persson
as a co-supervisor:
L44. Ylva Jannok Nutti 2007. Current
position: Teacher in the Lappish school at Jokkmokk.
Title of Licentiate thesis: Matematiskt
ankesätt inom den samiska kulturen utifrån samiska slöjdares och renskötares
berättelser. In
Swedish.
C. Current Ph.D.
students
At the moment the following
persons are PhD students in mathematics at Luleå University of Technology with Lars-Erik Persson
as a supervisor:
1. Larissa Arendarenko.
Main direction of research: Integral Inequalities, Function Spaces. Current
position: "Doktorand"
at Eurasian National University, Kazakhstan..
2. Raya Akhmetkaiyeva.
Main direction of research: Partial Differential Equations. Current
position: "Doktorand"
at Eurasian National University, Kazakhstan
3. Ralph Höibakk. Main direction of research :
Number Theory, Powermeans. Current position: Teacher
at Narvik University College, Norway.
4. Herman Myrvoll. Main direction of research: Homogenization Theory.
Current position: “Doctorand” at Narvik
Univesrity College, Norway.
5. Afonso
Fernando Tsandsana. Main direction of research:
Homogenization Theory. Current position: Teacher and “Doctorand”
at University of Maputo.
6. Mervis
Kikonko. Main direction of research: Differential
Equations, Sturm-Liouville Problems. Current
position: Teacher and “Doctorand” at University of
Zambia.
Lars-Erik Persson
is also co-supervisor in structural engineering of the following student at
Luleå University of Technology:
7. Natalia Sabourova
Main direction of research : Structural
Engineering. Current position: PhD student position at Department
of Structural Engineering. The mainsupervisor is professor Lennart Elfgren
Lars-Erik Persson
is the supervisor/co-supervisor in mathematics of the following PhD student in
the subject "Matematik
och lärande "
(Mathematics education) at Agder University (each of
these students has also a responsible supervisor for the didactical part):
8. Mira Randahl
Current position: "Doctorand" at Narvik University College. Co-supervisors for the
didactical parts are Professor Barbro Grevholm and Associate Professor Ragnhild
Rensaa .
Furthermore, Lars-Erik Persson
is mainsupervisor in
mathematics directed to mathematics didactics of the following PhD student at
Karlstad University:
9. Olov Viirman Current position: "Doctorand"
at Karlstad University Main direction of research: Mathematics Didactics.
The co-supervisors are Professor Iiris Attorps and docent Igor Gashkov .
The following person is PhD student in mathematics at Uppsala University with
Lars-Erik Persson
as a co-supervisor: (Professor Warwich Tucker is the
main supervisor):
10. Alexander Danis Current position: "Doctorand"
at Uppsala University.
Last modified 2011-04-08 by larserik@sm.luth.se