On the Existence of Mild Solutions of the Initial-Boundary-Value Problems for the Petrovskii-Type Semilinear Parabolic Systems with Variable Exponents of Nonlinearity

被引：0

作者：

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

机构：

[1] Franko Lviv Natl Univ, Lvov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2014年 / 66卷 / 04期

关键词：

Parabolic Equation; Continuous Operator; Mild Solution; Variable Exponent; Green Matrix;

D O I：

10.1007/s11253-014-0947-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the initial-boundary-value problem with general homogeneous boundary conditions for the Petrovskii-type semilinear parabolic systems with variable exponents of nonlinearity in a cylindrical domain. The existence of mild solutions of this problem is proved.

引用

页码：487 / 498

页数：12

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