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：

O. M. Buhrii

机构：

[1] Franko Lviv National University,

来源：

Ukrainian Mathematical Journal | 2014年 / 66卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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：11

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