Curriculum Vitae of Agnieszka Ka lamajska

Curriculum Vitae of Agnieszka Ka lamajska

Curriculum Vitae of Agnieszka Kalamajska
current position: Associate professor at Institute of Mathematics, Faculty
of Mathematics, Informatics and Mechanics University of Warsaw.
address: Institute of Mathematics, Warsaw University, ul. Banacha 2, 02097 Warszawa, Poland
email: [email protected]
Research interests: partial differential equations, Sobolev spaces, calculus
of variations and Young measures.
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Positions
2008-present: Associate professor at Institute of Mathematics, Warsaw
University,
1995-2008: Assistant professor at Institute of Mathematics, Warsaw University,
2002-2005: Assistant professor at Institute of Mathematics, Polish
Academy of Sciences at Warsaw, special research position.
1991-1995: Ph.D. student at Faculty of Mathematics, Informatics and Mechanics University of Warsaw.
1990-1991: Assistant at Warsaw University of Technology, Department of
Technical Physics and Applied Mathematics
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Education
January 2007: Habilitation in Mathematics, Warsaw University. Title of
the thesis: Quasiconvexity and Young measure theory.
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1991-1995: Ph.D. studies in Mathematics, Warsaw University. Title of the
thesis: Integral representations of Sobolev type and general Korn inequalities
(with a honorary distinction). Supervisor: Prof. dr. hab. Bogdan Bojarski.
1985-1990: Undergraduate student at Faculty of Mathematics, Informatics and Mechanics University of Warsaw. Title of the thesis: Periodic
Schrödinger operators defined by forms on Besicovitch space of almost periodic functions (with a honorary distinction). Supervisor: dr. A. Krupa.
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Honours
1995: Ph.D. with distinction,
1999: Regional award of region Mazowsze for scientific and educational
achievements, Warsaw.
1999,2001,2002,2003,2004: prices of Main Committee of Polish Mathematical Olympiad for preparation of youth to Mathematical Olympiad.
2002-2005: Special research position at Polish Academy of Sciences at Warsaw.
2005,2006,2007 Scientific scholarships of the Rector of Warsaw University.
2007: Prize of the Rector of the University of Warsaw for scientific achievements.
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Service
2005 - present. Scientific Advisor of students of College of Inter-Faculty
Individual Studies in Mathematics and Natural Sciences in Mathematical
Department.
2009 - present. Advisor of students of MOST (Mobility System for Students)
in Mathematical Department.
2005-2008 Advisor of students of Joint Program Studies in Mathematics
and Economy.
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Participation in grants
number
funding period
title
2011/03/N/ST1/00111
2012-2015
Nonlinear Elliptic Problems
(investigator)
N N201 397837
2009-2012
Orlicz-Sobolev spaces and other
function spaces in calculus of variations
probability theory and nonlinear PDEs of elliptic
type (main investigator)
EC FP6
2005-2007
EU grant: Marie Curie Host Fellowship for
for the Transfer of Knowledge, programs:
SPADE2 and CODY (participant)
1 PO3A 008 29
2005-2008
Orlicz-Sobolev spaces and their
applications in nonlinear PDEs of elliptic type
probability theory and calculus of variations
(main investigator)
PO3A 028 22
2002–2005
Analysis on metric spaces
and its applications in nonlinear elliptic PDEs,
probability theory and calculus of variations
(participant)
PO3A 055 14
1998–2001
Sobolev spaces, nonlinear PDEs
and calculus of variations: analytical
methods in geometric problems (participant)
PO3A 034 08
1995–1997
Sobolev spaces: theory, applications in PDEs
and numerical simulations (participant)
cooperation
of Warsaw University
and Charles University
(Prague)
2004-2007
The nonclassical Young measures and
their applications (investigator)
Polonium 97204
1996-97
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Polish-French cooperation project between
Centre de Mathematiques et de
Leurs Applications, ENS de Cachan and
Interdisciplinary Center for Modeling,
University of Warsaw
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Teaching
Exercices: Several exercise courses from PDEs I and II, analysis I and II, differential geometry 1, analytical functions, mathematical theory of insurances.
Lectures: Differential and Integral Calculus (academic years: 2008/2009,
2009/2010, 2010/2011), PDEs I (2005-2006, 2006/2007, 2007/2008, 2008/2009,
2009/2010), Inequalities (2009/2010), Multidimenional Calculus of Variations
(2010/2011), Nonlinear Elliptic Problems (2011/2012).
seminars: Calculus of Variations (2001/2002, 2005/2006), Function spaces
and their role in nonlinear PDEs (2007/2008), Nonlinear Elliptic Equations
(2012/2013)
other: lessons in special mathematical classes in liceum of Stanislaw Staszic,
Warsaw (1995-2003,2011-2013, special program, agreement between Warsaw
University and Staszic liceum), lectures from popular mathematics in the
Warsaw environment (Festival of Science, series of workshops dedicated to
high students specially interested to mathematics).
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Students
PHD students:
1. Iwona Skrzypczak (2 year of PHD studies), title: Hardy type inequalities and nonlinear eigenvalue problems (Nierównosci Hardiego i nieliniowe zagadnienia wlasne), expected defence in 2015; NCN grant Nonlinear Eigenvalue problems, 2011/03/N/ST1/00111, years 2012-2015.
MA students:
1. Renata Subda (Length, Volume, curvature, 1998),
2. Andrzej Stryjek (On one method of finding the maximum of the polynomial, 2002). Joint paper: Agnieszka Kalamajska and Andrzej Stryjek: On maximum principles in the class of oscillating functions, Aeq.
Math., Aequationes Math. 69/3 (2005),201-211.
3. Karol Lira Maximum principles for radial solutions to nonlinear PDEs,
2004). Joint paper: Agnieszka Kalamajska and Karol Lira, Maximum
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modulus principles for radial solutions of quasilinear and fully nonlinear
singular P.D.E’s, Bulletin of the Belgian Mathematical Society, 14(5)
(2007), 157-176.
4. Iwona Skrzypczak (Ważewska-Czyżewska-Lasota models, 2010). Joint
paper: Agnieszka Kalamajska, Katarzyna Pietruska-Paluba, Iwona
Skrzypczak, On some nonexistence results for differential inequalities
involving A-Laplacian, Advances in Differential Equations, Volume 17,
Numbers 3-4 (2012), 307–336.
5. Jan Peszek (On some nonlinear extensions of the Gagliardo-Nirenberg
inequality with applications to nonlinear eigenvalue problems, capacity
theory and isoperimetric inequalities, 2011), two papers resulted: 1) Agnieszka Kalamajska, Jan Peszek, On some nonlinear extensions of the
Gagliardo-Nirenberg inequality with applications to nonlinear eigenvalue problems Asymptotic Analysis, Volume 77, Number 3-4 (2012),
169–196; 2) Agnieszka Kalamajska, Jan Peszek, On certain generalizations of the Gagliardo-Nirenberg inequality and their applications to
capacitary estimates and isoperimetric inequalities, accepted in Journal of Fixed Point Theory and Applications.
6. Katarzyna Mazowiecka (Brezis-Mironescu type theorem and its application to nonlinear eigenvalue problems, 2012), Joint paper: Regularity
results to nonlinear eigenvalue problems in one dimension (in preparation).
7. Tomasz Choczewski (On one variant of strongly nonlinear coercive
and multiplicative inequalities with applications to nonlinear eigenvalue
problems of elliptic type, 2012) Joint paper: On one variant of strongly
nonlinear coercive and multiplicative inequalities with applications to
nonlinear eigenvalue problems of elliptic type (in preparation).
8. Anna Kosiorek (expected defence June 2013)
9. Ignacy Lipka (expected defence June 2014)
BA students:
1. Iwona Skrzypczak (Methods of Derrick-Pohozhajev and nonexistence
theorems for elliptic problems in PDEs (2008)).
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2. Kornel Maczyński (Hardy inequalities, 2009).
3. Tomasz Choczewski (On various versions of the famous theorem of
Gidas, Ni and Nirenberg, 2010).
4. Michal Gawroński (On certain eigenvalue problem for p-Laplace equation, 2011).
5. Ignacy Lipka (Pointwise Szegö inequality, 2012).
7.1
Scientific Organization
June 2012 Coorganizer with Stanislaw Migórski, Anna Ochal and Tomasz
Adamowicz of conference: Calculus of Variations and PDEs (Satelitary Conference of VI European Congress of Mathematicians) in Szczawnica, Poland.
September 2010 Coorganizer with Katarzyna Pietruska-Paluba and Anna
Ochal of workshop in Male Ciche (Poland): Inequalities and PDEs.
September 2008 Coorganizer with Krzysztof Chelmiński and Anna Ochal
of workshop in Male Ciche (Poland): Around Differential Inclusions,
October 2007 Coorganizer with Krzysztof Chelmiński, Anna Ochal, Maciej
Borodzik of workshop in Male Ciche (Poland): Around Calculus of Variations,
October 2006 Coorganizer with Krzysztof Chelmiński, Grzegorz Karch and
Anna Ochal of workshop in Male Ciche (Poland): Maximum principles- various points of view,
June 2005 Coorganizer with Katarzyna Pietruska-Paluba of workshop in
Male Ciche (Poland): Sobolev inequalities – various points of view.
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Research
8.1
Publications
1. Agnieszka Kalamajska, Miroslav Krbec, Traces of Orlicz-Sobolev functions
under general growth restrictions, accepted in Mathematishe Nachrichten,
early view:
http://onlinelibrary.wiley.com/doi/10.1002/mana.201100185/abstract
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2. Agnieszka Kalamajska, On one extension of Decomposition Lemma dealing
with weakly converging sequences of gradients with application to nonconvex
variational problems, accepted in Journal of Convex Analysis.
3. Agnieszka Kalamajska, Jan Peszek, On certain generalizations of the
Gagliardo-Nirenberg inequality and their applications to capacitary estimates and isoperimetric inequalities, accepted in Journal of Fixed Point
Theory and Applications.
4. Agnieszka Kalamajska, Stefan Krömer, Martin Kružik, Sequential weak continuity of null Lagrangians at the boundary, accepted in Calculus of Variations and Partial Differential Equations, http://arxiv.org/abs/1210.1454 .
5. Agnieszka Kalamajska, Katarzyna Pietruska-Paluba, Iwona Skrzypczak, On
some nonexistence results for differential inequalities involving A-Laplacian,
Advances in Differential Equations, Volume 17, Numbers 3-4 (2012), 307–
336.
6. Agnieszka Kalamajska, Jan Peszek, On some nonlinear extensions of the
Gagliardo-Nirenberg inequality with applications to nonlinear eigenvalue
problems Asymptotic Analysis, Volume 77, Number 3-4 (2012), 169–196.
preprint dostpny na: http://arxiv.org/abs/1104.1967,
7. Agnieszka Kalamajska, Katarzyna Pietruska-Paluba, Weighted Hardy-type
inequalities in Orlicz spaces, Mathematical Inequalities & Applications Volume 12, Number 4 (2012), 745-766.
8. Agnieszka Kalamajska i Katarzyna Pietruska-Paluba, New Orlicz variants of
Hardy type inequalities dealing with power, power-logarithmic and powerexponential weights, Cent. Eur. J. Math. 10(6) (2012), 2033-2050.
9. Agnieszka Kalamajska, Katarzyna Pietruska-Paluba, On a variant of
Gagliardo-Nirenberg inequality deduced from Hardy, Bull. Pol. Acad. Sci.
Math. 59(2) (2011), 133–149.
10. Tomasz Adamowicz and Agnieszka Kalamajska, Maximum principles and
nonexistence results for radial solutions to equations involving p-Laplacian,
zlozona, Math. Methods Appl. Sci. 33 (2010), no. 13, 1618–1627.
11. Agnieszka Kalamajska, Quasiwypuklość i otwarte problemy analizy
funkcjonalnej (in Polish), translation: Quasiconvexity and open problems
in functional analysis, Wiadomości Matematyczne 46(1) (2010), 1–16.
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12. Agnieszka Kalamajska and Miroslav Krbec, Gagliardo–Nirenberg inequalities in regular Orlicz spaces involving nonlinear expressions, Journal of
Mathematical Analysis and Applications 362 (2010), 460-470.
13. Tomasz Adamowicz and Agnieszka Kalamajska, On a variant of the maximum principle involving radial p-Laplacian with applications to nonlinear
eigenvalue problems and nonexistence results, Topological Methods in Nonlinear Analysis 34 (2009), 120.
14. Agnieszka Kalamajska, Lusin type theorem with convex integration and quasiconvex hulls of sets, Journal of Convex Analysis 16 (2009), No. 1, 227–237.
15. Agnieszka Kalamajska and Katarzyna Pietruska-Paluba: On a variant
of Hardy inequality between weighted Orlicz spaces, Studia Mathematica
193(1) (2009), 1-28.
16. Agnieszka Kalamajska, On one method of improving weakly converging sequence of gradients, Asymptotic Analysis 62 (2009), 107-123.
17. Agnieszka Kalamajska, Oscillation and concentration effects described by
Young measures which control discontinuous functions, Topological Methods
in Nonlinear Analysis, 31 (2008), 111-138.
18. Agnieszka Kalamajska and Katarzyna Pietruska-Paluba, GagliardoNirenberg inequalities in weighted Orlicz spaces equipped with a not necessarily doubling measure, Bulletin of the Belgian Mathematical Society, 15(2)
(2008), 217-235.
19. Agnieszka Kalamajska and Martin Kružik, Oscillations and concentrations
in sequences of gradients, ESAIM: Control, Optimization and Calculus of
Variations, Vol. 14, No. 1 (2008), 71-104.
20. Agnieszka Kalamajska and Karol Lira, Maximum modulus principles for
radial solutions of quasilinear and fully nonlinear singular P.D.E’s, Bulletin
of the Belgian Mathematical Society, 14(5) (2007), 157-176.
21. Agnieszka Kalamajska and Katarzyna Pietruska-Paluba, Interpolation inequalities for derivatives in Orlicz spaces, Indiana University Mathematics
Journal 55(6) (2006), pp. 1767–1789.
22. Agnieszka Kalamajska and Katarzyna Pietruska-Paluba, Gagliardo–
Nirenberg inequalities for derivatives in logarythmic Orlicz spaces, Coll.
Math., 106 (1) (2006), 93–107.
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23. Agnieszka Kalamajska, “On one generalization of a theorem by Diperna
and Majda” Mathematical Methods in Applied Sciences, Volume 29, Issue
11 (2006), 1307–1325.
24. Agnieszka Kalamajska and Katarzyna Pietruska–Paluba: Gagliardo–
Nirenberg inequalities in weighted Orlicz spaces, Studia Math. 173 (1)
(2006), 49–71.
25. Agnieszka Kalamajska, On Young measures controlling discontinuous functions, J. Conv. Anal. 13 (2006), No.1, pp. 177–192.
26. Krzysztof Chelmiński and Agnieszka Kalamajska, New Convexity Conditions in the Calculus of Variations and Compensated Compactness Theory.
ESAIM: Control, Optimisation and Calculus of Variations, Vol 12 (No. 1)
(2006), pp. 64–92.
27. Agnieszka Kalamajska and Andrzej Stryjek: On maximum principles in
the class of oscillating functions, Aeq. Math., Aequationes Math. 69/3
(2005),201-211.
28. Agnieszka Kalamajska and Katarzyna Paluba: Logarythmic interpolation
inequalities for derivatives, Journal of the London Mathematical Society
70(3) (2004), 691–702.
29. Agnieszka Kalamajska: On new geometric conditions for some weakly lower
semicontinuous functionals with applications to the rank–one conjecture of
Morrey, Proc. Roy. Soc. Edinburgh, 133A (2003), 1361–1377.
30. Agnieszka Kalamajska: On Λ–convexity conditions in the theory of lower
semicontinuous functionals, Journ. Conv. Anal. 10 (2003), Number 2,
419–436.
31. Agnieszka Kalamajska: A remark on Kolmogorov’s theorem, Aequationes
Mathematicae 64 (2002), 165–169.
32. Agnieszka Kalamajska: On constants in the pointwise one–dimensional multiplicative inequalities, Commentionnes Mathematicae, XLII (1), 2002, 37–
51,
33. Agnieszka Kalamajska: On the condition of Lambda- convexity in some
problems of weak continuity and weak lower semicontinuity, Coll. Math.
89(1) (2001), 43–59.
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34. Agnieszka Kalamajska: On compactness of embedding for Sobolev spaces
defined on metric spaces, Annales Acad. Scientiarum Fennicae 24 (1999),
123–132.
35. Agnieszka Kalamajska and Albert Milani: Anisotropic Sobolev spaces and
parabolic equations. II. Equations, (Russian) Differ. Urawn. 34, no. 10
(1998), 1369–1374, 1438; translation in Differential Equations 34, no. 10
(1998), 1369–1375 (1999)
36. Agnieszka Kalamajska and Albert Milani: Anisotropic Sobolev spaces and
parabolic equations, I. Spaces, (Russian) Differ. Urawn. 34, no.9 (1998),
1162–1169, 1293; translation in Differential Equations 34 (1998), no. 9,
1164–1171 (1999).
37. Agnieszka Kalamajska and Albert Milani: Anisotropic Sobolev spaces and
parabolic equations, Ulmer Seminare ueber Funktionalanalysis und Differentialgleichungen 2 (1997), 237–273
38. Agnieszka Kalamajska: On lower semicontinuity of multiple integrals, Coll.
Math. 74 (1997), 71–78.
39. Agnieszka Kalamajska and Piotr Hajlasz: Polynomial asymptotics and approximation of Sobolev functions, Studia Math. 113 (1995), 55–64.
40. Agnieszka Kalamajska: Pointwise multiplicative inequalities and Nirenberg
type estimates in weighted Sobolev spaces, Studia Math. 108 (1994), 275–
290.
41. Agnieszka Kalamajska: Coercive inequalities on weighted Sobolev spaces,
Coll. Math. 66 (1994), 309–318.
42. Agnieszka Kalamajska: On the completeness of eigenelements of periodic
elliptic operators in Besicovitch space B 2 (Rn ), Reports on Math. Phys. 32
(1993), 329–337.
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