A METHOD FOR SOLVING ILL-POSED ROBIN-CAUCHY PROBLEMS FOR SECOND-ORDER ELLIPTIC EQUATIONS IN MULTI-DIMENSIONAL CYLINDRICAL DOMAINS

被引：0
作者：
Torebek, Berikbol T. [1 ]
机构：
[1] Inst Math & Math Modeling, Dept Fundamental Math, Dept Differential Equat, 125 Pushkin Str, Alma Ata 050010, Kazakhstan
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年
关键词：
Elliptic equation; Robin-Cauchy problem; self-adjoint operator; ill-posedness; LAPLACE-EQUATION; STRONG SOLVABILITY; CRITERION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we consider the Robin-Cauchy problem for multidimensional elliptic equations in a cylindrical domain. The method of spectral expansion in eigenfunctions of the Robin-Cauchy problem for equations with deviating argument establishes a criterion of the strong solvability of the considered Robin-Cauchy problem. It is shown that the ill-posedness of the Robin-Cauchy problem is equivalent to the existence of an isolated point of the continuous spectrum for a self-adjoint operator with the deviating argument.
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页数：9
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