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

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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 No.: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.

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