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Analyticity of stable invariant manifolds for Ginzburg-Landau equation. (English) Zbl 1171.35394
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 (ISBN 978-981-270-594-5/hbk). 93-112 (2007).
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. For the entire collection see [Zbl 1154.34003].
35K35Higher order parabolic equations, boundary value problems
35K20Second order parabolic equations, initial boundary value problems
37L25Inertial manifolds and other invariant attracting sets