A criterion for the strong solvability of the mixed cauchy problem for the Laplace equation

被引：31

作者：

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

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

机构：

[1] Minist Educ & Sci Kazakhstan, Res Ctr Phys & Math, Alma Ata 050010, Kazakhstan

来源：

DOKLADY MATHEMATICS | 2007年 / 75卷 / 03期

关键词：

Cauchy Problem; Strong Solution; Laplace Equation; Spectral Problem; DOKLADY Mathematic;

D O I：

10.1134/S1064562407030118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The description of a criterion for the strong solvability of the mixed Cauchy problem for the Laplace equation is described. The necessary and sufficient condition for Mixed Cauchy problem and the construction of the functions ψ1 and ψ2 are constructed by Hadamard. An important role is played by the eigenvalue problem for the Laplace equation with deviating arguments. A system of linear homogeneous equations with respect to these constants is also obtained. The operator equation is obtained by applying the inverse operator Lc-1 to the Cauchy problem.

引用

页码：370 / 373

页数：4

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