THE SOLVABILITY OF THE CAUCHY PROBLEM FOR A CLASS OF SOBOLEV-TYPE EQUATIONS IN TEMPERED DISTRIBUTIONS

被引：0
|
作者：
Pavlov, A. L. [1 ]
机构：
[1] Donetsk Natl Univ, Inst Appl Math & Mech, Donetsk, Ukraine
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2022年 / 63卷 / 05期
关键词：
Cauchy problem; Sobolev-type equation; tempered distribution; multiplier;
D O I：
10.1134/S0037446622050135
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give sufficient conditions for the existence of a solution to the Cauchy problem for the equation P-2(D-x)partial derivative(2)(t) u + P-0(D-x)u = 0 in the space of tempered distributions.
引用
收藏
页码：940 / 955
页数：16
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