Kuratowski limits of sequences of young measures in classical variational problems

• Autorzy: Puchała P.
• Języki publikacji: EN

Abstrakty

EN

We calculate Kuratowski limits of sequences of supports of Young measures associated to the minimizing sequences in two classical variational problems.

Słowa kluczowe

EN

Young measures; variational problems

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 2
• Strony: 213--217
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Puchała P.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Krzyśko M., Wykłady z teorii prawdopodobieństwa, WNT, Warsaw 2000 (in Polish).
• [2] Young L.C., Generalized curves and the existence of an attained absolute minimum in the calculus of variations, Comptes Rendues de la Société des Sciences et des Lettres de Varsovie, classe III 1937, 30, 212-234.
• [3] Carstensen C., Numerical Analysis of Microstructure, [in:] Theory and Numerics of Differential Equations, J.F. Blowey, J.P. Coleman, A.W. Craig (eds.), Durham 2000, Universitext, Springer, Berlin 2001, 59-126.
• [4] Málek J. et al., Weak and Measure-valued Solutions to Evolutionary PDEs, Chapman & Hall 1995.
• [5] Müller S., Variational models for microstructure and phase transitions, [in:] Calculus of Variations and Geometric Evolution Problems, S. Hildebrandt, M. Struwe (eds.), Lecture Notes in Mathematics 1999, 1713, Springer, 85-210.
• [6] Puchała P., On a certain method of calculating Young measures in some simple cases, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology, Special issue ed. S. Kukla, 2(8) 2009.