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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.
MSC:
35K35Higher order parabolic equations, boundary value problems
35K20Second order parabolic equations, initial boundary value problems
37L25Inertial manifolds and other invariant attracting sets