Pseudoparabolic and pseudohyperbolic equations in noncylindrical time domains

Pseudoparabolic and pseudohyperbolic equations in noncylindrical time domains Full article

Journal

Математические заметки СВФУ (Mathematical Notes of NEFU)
ISSN: 2411-9326 , E-ISSN: 2587-876X

Output data

Year: 2019, Volume: 26, Number: 3, Pages: 15-30 Pages count : 16 DOI: 10.25587/SVFU.2019.17.12.002

Tags

Boundary value problem; Existence; Noncylindrical domain; Pseudohyperbolic equation; Pseudoparabolic equation; Regular solution; Uniqueness

Authors

Kozhanov A.I. ^1,2 , Lukina G.A. ³

Affiliations

1	Sobolev Institute of Mathematics, 4 Acad. Koptyug Avenue, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, 1 Pirogov Street, Novosibirsk, 630090, Russian Federation
3	Ammosov North-Eastern Federal University, Mirny Polytechnic Institute, 5/1 Tikhonov Street, Mirny, 630090, Russian Federation

We study solvability of new boundary value problems for pseudoparabolic and pseudohyperbolic equations with one spatial variable. The solutions for these problems are sought in domains noncylindrical along the time variable, not in the domains with curvilinear borders (domains with moving border) as in the previous works. We prove the existence and uniqueness theorems for the regular solutions, those having all generalized Sobolev derivatives, required in the equation, in the inner subdomains. © 2019 A. I. Kozhanov, G. I. Lukina.

Kozhanov A.I. , Lukina G.A.
Pseudoparabolic and pseudohyperbolic equations in noncylindrical time domains
Математические заметки СВФУ (Mathematical Notes of NEFU). 2019. V.26. N3. P.15-30. DOI: 10.25587/SVFU.2019.17.12.002 Scopus OpenAlex

Scopus:	2-s2.0-85074644690
OpenAlex:	W3089672146

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Scopus	7
OpenAlex	6