Criterion for the strong solvability of the mixed Cauchy problem for the Laplace equation

被引：22

作者：

Kal'menov, T. Sh. ^{[1
]}

Iskakova, U. A. ^{[1
]}

机构：

[1] Minist Educ & Sci, Ctr Res Phys & Math, Alma Ata, Kazakhstan

来源：

DIFFERENTIAL EQUATIONS | 2009年 / 45卷 / 10期

关键词：

Cauchy Problem; Strong Solution; Laplace Equation; Spectral Problem; Equation Criterion;

D O I：

10.1134/S0012266109100085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we prove a necessary and sufficient condition for the well-posedness of the problem indicated in the title in the space L (2)(Omega). To this end, we use expansions in the eigenfunctions of the mixed Cauchy problem for the Laplace equation with a deviating argument.

引用

页码：1460 / 1466

页数：7

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