Mathematics

Estimates for solutions to the second boundary value problem for Sobolev type equations in a cylindrical domain

G. V. Demidenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We consider the second boundary value problem for a class of Sobolev type equations in a cylindrical domain. This class includes the Sobolev equation and the equation of internal waves. Internal estimates for solutions are established for large t.

Keywords: boundary value problem in a cylinder, Sobolev equation, equation of internal waves, Sobolev spaces

UDC: 517.947

Received: 23.10.2025
Accepted: 01.12.2025

DOI: 10.25587/2411-9326-2025-4-44-52