DOUBLY NONLINEAR PARABOLIC EQUATIONS WITH VARIABLE EXPONENTS OF NONLINEARITY

被引：11

作者：

Bokalo, T. M. ^{[1
]}

Buhrii, O. M. ^{[1
]}

机构：

[1] Franko Lviv Natl Univ, Lvov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2011年 / 63卷 / 05期

关键词：

Parabolic Equation; Galerkin Method; Nonlinear Parabolic Equation; Variable Exponent; Degenerate Parabolic Equation;

D O I：

10.1007/s11253-011-0537-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In generalized Lebesgue and Sobolev spaces, we consider a mixed problem for a class of parabolic equations with double nonlinearity and nondegenerate minor terms whose exponents of nonlinearity are functions of the space variables. By using the Galerkin method, we establish the conditions of existence of weak solutions of the posed problem.

引用

页码：709 / 728

页数：20

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