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

页码：940 / 955

页数：16

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