September 26 - 29, 2008

(Thursday, September 25 is the day of arrival)

Our four-day seminar will be held in a small village Male Ciche near Zakopane, in Polish Tatra Mountains. It will be devoted to various topics on Differential Inclusions by an interdisciplinary gremium. The current seminar is the fourth one in the series focused around different areas of mathematics (Sobolev Inequalities (2005), Maximum Principles (2006), Calculus of Variations (2007)). Our meeting will have a style of the traditional seminar since lectures will be given on two traditional blackboards with a chalk. Young researchers and PhD students are particularly welcome.

We plan around 16 one-hour lectures (which can be splitted by two half-hour lectures): 4 lectures per day (2 before lunch and 2 after dinner) and a poster session. The time slot between breakfast and lunch will be devoted to discussions.

Organizers propose a short trip to the beautiful Slovakian Cave of Liberty in Demanovska Valley at the nothern side of the Low Tatra Mountains. Additional cost of the trip for one person will include a ticket (200Sk =~22PLN) and transport: 1/n*700zł, where n is a number of people who will decide to visit cave. Assuming 10-person group, approximate total cost of it should not be more than 100PLN. People who will decide to take part in this event are kindly asked to inform organizers about it at least a week before seminar.

Detailed information including accommodation, fee, methods of payments can be found in the following PDF file.

Application form (soon):

  • for foreign participants: Word file,
  • for Polish participants:

Proposed lectures: (tentative, to be discussed with the organizers)

  1. Convex integration and regularity theory
    coordinating person: Agnieszka Kałamajska, email: kalamajs(at)
  2. Inclusions involving maximal monotone operators
    coordinating person: Krzysztof Chełmiński, email: kchelmin(at)
  3. Modeling via subdifferential inclusions
    coordinating person: Anna Ochal, email: ochal(at)

List of participants
  1. Leszek Bartczak (Technical University of Warsaw)
    Title: Asymptotic properties of solutions to differential inclusions with maximal monotone operators.

  2. Krzysztof Chełmiński (Technical University of Warsaw)

  3. Jerzy Czepiel (Jagiellonian University)

  4. Bartek Dyda (Technical University of Wroclaw)
    Title: A new approach to counterexamples to L1 estimates. Based on the paper by S. Conti, D. Faraco and F. Maggi.

  5. Andrzej Fryszkowski (Technical University of Warsaw)
    Title: Selections and their applications in differential inclusions.

  6. Anna Goldstein (University of Warsaw)
    Title: A-caloric approximations in nonlinear PDEs. Based on papers by F. Duzar and R. Mingione - Part I.

  7. Paweł Goldstein (University of Warsaw)
    Title: A-caloric approximations in nonlinear PDEs. Based on papers by F. Duzar and R. Mingione - Part II.

  8. Jan Goncerzewicz (Technical University of Wroclaw)
    Title: A view on differential inclusions. Based on the paper by A. Cellina.

  9. Agata Grudzka (Nicolaus Copernicus University in Toruń)

  10. Grzegorz Jamróz (University of Warsaw)
    Title: Two gradient problem. Based on the paper by Ball and James.

  11. Piotr Kalita (Jagiellonian University)
    Title: Evolution inclusions in the control theory - the "bang-bang" principle. Based on the paper by A. A. Tolstonogov and D. A. Tolstonogov.

  12. Agnieszka Kałamajska (University of Warsaw)
    Title: Convex integration for Lipschitz mappings and counterexamples to regularity. Based on the paper by S.Müller and V. Šverák.

  13. Przemysław Kamiński (Technical University of Warsaw)
    Title: Maximal monotone operators and Yosida approximation.

  14. Piotr Kokocki (Nicolaus Copernicus University in Toruń)

  15. Marta Kornafel (Cracow University of Economics)
    Title: Integrodifferential variational inequalities for viscoelastic materials with long term-memory. Based on the paper by A. Rodríguez-Arós, M. Sofonea and J.M.Viaño.

  16. Jarosław Mederski (Nicolaus Copernicus University in Toruń)

  17. Arkadiusz Misztela (Nicolaus Copernicus University in Toruń)
    Title: Optimal control problems with upper semicontinuous Hamiltonians.

  18. Piotr Nayar (University of Warsaw)
    Title: How to recognize second order elliptic Partial Differential Equation dealing with first order Partial Differential Inclusion. Based on S. Müller lecturenotes.

  19. Sergiy Nesenenko (Technical University of Darmstadt, Germany)
    Title: A note on existence result for models of monotone type in elastoplasticity.

  20. Anna Ochal (Jagiellonian University)
    Title: Nonconvex superpotential laws - stationary hemivariational inequalities.

  21. Piotr Opioła (Jagiellonian University)

  22. Sebastian Owczarek (Technical University of Warsaw)
    Title: Existence of global solutions to differential inclusions with maximal monotone operators.

  23. Dariusz Pączka (Technical University of Szczecin)
    Title: A unified approach to dynamic contact problems in viscoelasticity.

  24. Katarzyna Pietruska-Pałuba (University of Warsaw)

  25. Waldemar Pompe (University of Warsaw)
    Title: Martingales in the convex integration theory.
    Title: N gradient problem.

  26. Krzysztof Rykaczewski (Nicolaus Copernicus University in Toruń)

  27. Konrad Sakowski (University of Warsaw)

  28. Aleksandra Zapadinskaya (University of Jyväskylaä, Finland)

Around Calculus of Variations 2007