This article is cited in 2 papers

On a boundary value problem for a pseudohyperbolic equation

V. V. Shemetova<sup>ab

a</sup> Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
^b Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract: In the present article, we consider a mixed boundary value problem in a quarter-space for a pseudohyperbolic equation. We find conditions on the right-hand side of the equation that guarantee existence of solutions of this problem in Sobolev spaces with exponential weight.

Key words: pseudohyperbolic equation, mixed boundary value problem, anisotropic Sobolev space.

UDC: 517.954

Received: 25.05.2023
Revised: 10.06.2023
Accepted: 16.06.2023

DOI: 10.33048/mattrudy.2023.26.110

 English version: Siberian Advances in Mathematics, 2023, 33:3, 242–252

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