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.
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页码：1247 / 1263
页数：17
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