Cauchy problem for quasiparabolic factorized differential equations with variable domains of smoothed operators

被引：0

作者：

F. E. Lomovtsev

机构：

[1] Belarus State University,

来源：

Differential Equations | 2009年 / 45卷

关键词：

Cauchy Problem; Strong Solution; Variable Domain; Mixed Problem; Smooth Operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove existence, uniqueness, and stability theorems for strong solutions of Cauchy problems for quasiparabolic factorized operator-differential equations with variable domains. For the first time, we derive a recursion formula for strong solutions of Cauchy problems, where recursion goes over the number of operator-differential factors in these equations. We prove the well-posed solvability (in the strong sense) for new mixed problems for partial differential equations with time-dependent coefficients in the boundary conditions.

引用

页码：113 / 125

页数：12