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

被引：0

作者：

Li, F. ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian, Peoples R China

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2016年 / 67卷 / 08期

关键词：

QUASI-LINEAR PROBLEMS; UNIQUENESS; EXISTENCE;

D O I：

10.1007/s11253-016-1149-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1247 / 1263

页数：17

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