2017
Том 69
№ 9

All Issues

Certain Regularity of the Entropy Solutions for Nonlinear Parabolic Equations with Irregular Data

Li Fengquan


Abstract

We introduce new sets of functions different both from the space introduced in [Ph. Bénilan, L. Boccardo, T. Gallou?t, R. Gariepy, M. Pierre, and J. L. Vazquez, Ann. Scuola Norm. Super. Pisa, 22, No. 2, 241–273 (1995)] and from the Rakotoson T -set introduced in [J. M. Rakotoson, Different. Integr. Equat., 6, No. 1, 27–36 (1993); J. Different. Equat., 111, No. 2, 458–471 (1994)]. In the new framework of sets, we present some summability results for the entropy solutions of nonlinear parabolic equations.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 8, pp 1247-1263.

Citation Example: Li Fengquan Certain Regularity of the Entropy Solutions for Nonlinear Parabolic Equations with Irregular Data // Ukr. Mat. Zh. - 2015. - 67, № 8. - pp. 1107-1121.