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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2003 Volume 44, Number 5, Pages 1124–1131 (Mi smj1237)
This article is cited in 11 papers

The phase space of one generalized model by Oskolkov

G. A. Sviridyuk, V. O. Kazak

Chelyabinsk State University

Abstract: We demonstrate that the phase space of the Cauchy–Dirichlet problem for the equation
$$ u_t-\varkappa\Delta u_t=v\Delta u-K(u)+f $$
is a simple Banach $C^{\infty}$-manifold.

Keywords: semilinear equation of Sobolev type, phase space.

UDC: 517.956

Received: 27.04.2002


 English version: Siberian Mathematical Journal, 2003, 44:5, 877–882

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