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. 1
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 Schr¨odinger 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 (Nier´ownosci 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 4
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 (Wa˙zewska-Czy˙zewska-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)). 5
2. Kornel Maczy´ nski (Hardy inequalities, 2009). 3. Tomasz Choczewski (On various versions of the famous theorem of Gidas, Ni and Nirenberg, 2010). 4. Michal Gawro´ nski (On certain eigenvalue problem for p-Laplace equation, 2011). 5. Ignacy Lipka (Pointwise Szeg¨o inequality, 2012).
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Scientific Organization
June 2012 Coorganizer with Stanislaw Mig´orski, 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 Chelmi´ nski and Anna Ochal of workshop in Male Ciche (Poland): Around Differential Inclusions, October 2007 Coorganizer with Krzysztof Chelmi´ nski, Anna Ochal, Maciej Borodzik of workshop in Male Ciche (Poland): Around Calculus of Variations, October 2006 Coorganizer with Krzysztof Chelmi´ nski, 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 Kr¨omer, Martin Kruˇzik, 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, Quasiwypuklo´s´c i otwarte problemy analizy funkcjonalnej (in Polish), translation: Quasiconvexity and open problems in functional analysis, Wiadomo´sci 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 Kruˇzik, 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 Chelmi´ nski 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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