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Zbl 1171.35394
Fursikov, A.V.
Analyticity of stable invariant manifolds for Ginzburg-Landau equation. (English)
[A] Cârjă, Ovidiu (ed.) et al., Applied analysis and differential equations. Selected papers from the international conference, ``Al. I. Cuza" University of Iaşi, Iaşi, Romania, September 4--9, 2006. Hackensack, NJ: World Scientific. 93-112 (2007). ISBN 978-981-270-594-5/hbk

Summary: This paper is devoted to prove analyticity of stable invariant manifold in a neighbourhood of an unstable steady-state solution for Ginzburg-Landau equation defined in a bounded domain of dimension not more than three. This investigation is made for possible applications in stabilization theory for semilinear parabolic equation.

MSC 2000:: *35K35 Higher order parabolic equations, boundary value problems
35K20 Second order parabolic equations, boundary value problems
37L25 Inertial manifolds and other invariant attracting sets

Keywords: unstable steady-state solution; stabilization theory

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