On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms

On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms Full article

Journal

Mathematics
, E-ISSN: 2227-7390

Output data

Year: 2023, Volume: 11, Number: 18, Article number : 3943, Pages count : 16 DOI: 10.3390/math11183943

Tags

Sobolev-type equations; pseudohyperbolic equations; weighted Sobolev spaces; energy estimate

Authors

Bondar L.N. ^1,2 , Demidenko G.V. ^1,2

Affiliations

1	Department of Mathematics and Mechanics, Novosibirsk State University, 1, Pirogov St., 630090 Novosibirsk, Russia
2	Laboratory of Differential and Difference Equations, Sobolev Institute of Mathematics, 4, Acad. Koptyug Avenue, 630090 Novosibirsk, Russia

Funding (1)

Mathematical Center in Akademgorodok

075-15-2019-1675

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.

Bondar L.N. , Demidenko G.V.
On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms
Mathematics. 2023. V.11. N18. 3943 :1-16. DOI: 10.3390/math11183943 WOS Scopus РИНЦ OpenAlex

Submitted:	Aug 4, 2023
Accepted:	Sep 15, 2023
Published print:	Sep 17, 2023
Published online:	Sep 17, 2023

Web of science:	WOS:001072507800001
Scopus:	2-s2.0-85176417168
Elibrary:	63144607
OpenAlex:	W4386831342

DB	Citing
OpenAlex	3
Web of science	2
Scopus	2