On Well-Posedness of the Cauchy Problem for Pseudohyperbolic Equations in Weighted Sobolev Spaces

被引：2

作者：

Bondar, L. N. ^{[1
,2
]}

Demidenko, G. V. ^{[1
,2
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

[2] Novosibirsk State Univ, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2023年 / 64卷 / 05期

关键词：

equations that are not solved with respect to the higher-order derivative; pseudohyperbolic equations; energy estimate; 517.955;

D O I：

10.1134/S0037446623050026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of strictly pseudohyperbolic equationsand establish some solvability conditions ofthe Cauchy problem in the class of weighted Sobolev spaces.We also prove the uniqueness of solutions and obtain some estimates.

引用

页码：1076 / 1090

页数：15

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