Regularity of the solution of the Cauchy problem for a higher-order parabolic equation

被引：0

作者：

M. F. Cherepova

机构：

[1] Technical University,Moscow Institute of Power Engineering

来源：

Differential Equations | 2010年 / 46卷

关键词：

Cauchy Problem; Parabolic Equation; Fundamental Solution; Arbitrary Function; Parabolic System;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove the unique solvability of the Cauchy problem in a weighted Hölder space for a linear parabolic equation of order 2m under the condition that the lower coefficients and the right-hand side of the equation can have certain growth when approaching the plane that is the support of the initial data, while the higher coefficients do not necessarily satisfy the Dini condition near this plane.

引用

页码：543 / 552

页数：9

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