Short Communication
Differential Equations

Explicit solution of Cauchy problem for the linearized system of phase field equations

Kh. G. Umarov

Chechen State University, Groznyi

Abstract: The explicit solution of Cauchy problem for the linearized system of phase field equations is received by reduction it to the abstract Cauchy problem in Banach space.

Keywords: linearized system of phase field equations, strongly continuous semi-groups of operators in Banach spaces.

UDC: 517.95+517.986.7

PACS: 47D06

MSC: Primary 35G10; Secondary 47D06

Original article submitted 30/VI/2011
revision submitted – 29/XI/2011

DOI: 10.14498/vsgtu977

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