Regularization of a Nonstandard Cauchy Problem for a Dynamic Lame System

被引：0
作者：
Niyozov, I. E. [1 ]
机构：
[1] Samarkand State Univ, 15 Univ Skii Blvd, Samarkand 140104, Uzbekistan
来源：
RUSSIAN MATHEMATICS | 2020年 / 64卷 / 04期
关键词：
Lame system; Carleman formula; Cauchy problem; Laplace transform;
D O I：
10.3103/S1066369X20040052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Cauchy problem for dynamic Lame systems in the cylinder G(T) = D x (0,T) constructed over a domain D in a three-dimensional space, where the initial data are given in some strip in the lateral surface of the cylinder. The strip has the form S x (0,T), where S is an open subset of the boundary surface of the domain D. This problem is ill-posed. Under certain requirements to the configuration of S, we derive an explicit formula for solutions to this problem.
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页码：44 / 53
页数：10
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