On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms-Reference-Cited by-同舟云学术

On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms

Published:2023-09-17 Issue:18 Volume:11 Page:3943
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Bondar Lina N.¹²,Demidenko Gennadii V.¹²

Affiliation:

1. Laboratory of Differential and Difference Equations, Sobolev Institute of Mathematics, 4, Acad. Koptyug Avenue, 630090 Novosibirsk, Russia

2. Department of Mathematics and Mechanics, Novosibirsk State University, 1, Pirogov St., 630090 Novosibirsk, Russia

Abstract

We consider a class of strictly pseudohyperbolic equations with lower order terms. The solvability of the Cauchy problem in Sobolev spaces with special weights is established. The uniqueness of the solution is proven and estimates are obtained.

Funder

Mathematical Center

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/18/3943/pdf

Reference22 articles.

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