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.
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页码：57 / 76
页数：19
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