Nonlinear parabolic equations with nonstandard growth

被引：4

作者：

Youssfi, A. ^{[1
]}

Azroul, E. ^{[2
]}

Lahmi, B. ^{[2
]}

机构：

[1] Univ Sidi Mohamed Ben Abdellah, Natl Sch Appl Sci, Lab Engn Syst & Applicat, POB 72 Principale, Fes, Morocco

[2] Univ Sidi Mohamed Ben Abdellah, Fac Sci Dhar El Mahraz, Dept Math, Lab LAMA, POB 1796 Atlas, Fes, Morocco

来源：

APPLICABLE ANALYSIS | 2016年 / 95卷 / 12期

关键词：

Nonlinear parabolic equations; variable exponents; weak solutions; 35K55; 46E35; 35D30; VARIABLE EXPONENT; SOBOLEV SPACES; EXISTENCE; UNIQUENESS; THEOREMS;

D O I：

10.1080/00036811.2015.1111999

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the solvability of the initial-boundary value problem for second-order nonlinear parabolic equations with nonstandard growth conditions and L-2-source terms. In the model case, these equations include the p-Laplacian with a variable exponent p(x,t). We prove that if the variable exponent p is bounded away from both 1 and +infinity and is log-Holder continuous, then the problem has a weak solution which satisfies the energy equality.

引用

页码：2766 / 2778

页数：13

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