The Cauchy Problem for One Equation of Sobolev Type

被引：0

作者：

Pavlov A.L. ^{[1
,2
]}

机构：

[1] Donetsk National University, Donetsk

[2] Insititute of Applied Mathematics and Mechanics, Donetsk

来源：

Siberian Advances in Mathematics | 2019年 / 29卷 / 1期

关键词：

Cauchy problem; equation of Sobolev type; regularization of a distribution;

D O I：

10.3103/S105513441901005X

中图分类号：

学科分类号：

摘要：

We give necessary and sufficient conditions for the existence of a solution to the Cauchy problem for the equation Δ k ∂ t 2 u + (−1) k u = 0 in the space of tempered distributions. © 2019, Allerton Press, Inc.

引用

页码：57 / 76

页数：19

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