V. A. Litovchenko, I. M. Dovzhytska, “Stabilization of solutions to Shilov-type parabolic systems with nonnegative genus”, Sibirsk. Mat. Zh., 2014, Volume 55, Number 2,Pages <nobr>341

This article is cited in 10 papers

Stabilization of solutions to Shilov-type parabolic systems with nonnegative genus

V. A. Litovchenko, I. M. Dovzhytska

Chernivtsi National University, Chernivtsi, Ukraine

Abstract: We examine some class of Shilov-type parabolic systems with a nonnegative genus and bounded smooth coefficients depending on time and spatial variables and study the behavior of solutions when $t$ tends to infinity. The initial data at $t=0$ belong to a wide class of distributions.

Keywords: Cauchy problem, Shilov-parabolic systems with variable coefficients, generalized initial data, stabilization of solutions.

UDC: 517.96

Received: 28.02.2013