The simplest semilinear parabolic equation of normal type

Andrei Fursikov

doi:10.3934/mcrf.2012.2.141

Article Contents

2012, Volume 2, Issue 2: 141-170. Doi: 10.3934/mcrf.2012.2.141

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The simplest semilinear parabolic equation of normal type

Andrei Fursikov^1,

1.
Department of Mechanics & Mathematics, Moscow State University, Moscow 119991

Received: May 31, 2011

Revised: January 31, 2012

Published: May 2012

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Abstract

The notion of semilinear parabolic equation of normal type is introduced. The structure of dynamical flow corresponding to equation of this type with periodic boundary condition is investigated. Stabilization of mentioned equation with arbitrary initial condition by start control supported in prescribed subset is constructed.

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Mathematics Subject Classification: Primary: 35Q35, 35C05, 35Q93; Secondary: 35R10, 35Q94.

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