Release Time:2019-03-09  Hits:

Indexed by: Journal Papers

Date of Publication: 2016-01-01

Journal: UKRAINIAN MATHEMATICAL JOURNAL

Included Journals: SCIE

Volume: 67

Issue: 8

Page Number: 1247-1263

ISSN: 0041-5995

Abstract: We introduce new sets of functions different both from the space introduced in [Ph. B,nilan, L. Boccardo, T. GallouNt, 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.