S. E. Zhelezovskiĭ, “On the smoothness of the solution of an abstract coupled problem of thermoelasticity type”, Zh. Vychisl. Mat. Mat. Fiz., 2010, Volume 50, Number 7,Pages <nobr>1240

This article is cited in 5 papers

On the smoothness of the solution of an abstract coupled problem of thermoelasticity type

S. E. Zhelezovskiĭ

Saratov Social-Economics University, ul. Radishcheva 89, Saratov, 410003 Russia

Abstract: The Cauchy problem for a system of two operator-differential equations in Hilbert space that is a generalization of a number of linear coupled thermoelasticity problems is investigated. Results concerning the high smoothness of the solutions to these equations are proved.

Key words: operator-differential equations, coupled thermoelasticity problems, high smoothness of solutions to operator-differential equations.

UDC: 519.634

Received: 16.12.2008