Global existence and time decay of small solutions to the Landau-Ginzburg type equations

DOI10.1007/BF02786554zbMath1173.35532OpenAlexW2090223524MaRDI QIDQ1034833

Pavel I. Naumkin, Elena I. Kaikina, Nakao Hayashi

Publication date: 8 November 2009

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786554

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Critical convective-type equations on a half-line ⋮ Damped wave equation with a critical nonlinearity ⋮ Second critical exponent and life span for pseudo-parabolic equation ⋮ Subcritical nonlinear nonlocal equations on a half-line ⋮ On a nonlinear equation with fractional derivative ⋮ FRACTIONAL LANDAU–GINZBURG EQUATIONS ON A SEGMENT ⋮ On the critical nonlinear damped wave equation with large initial data ⋮ Subcritical Kuramoto-Sivashinsky-type equation on a half-line

Cites Work

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• ON ASYMPTOTIC “EIGENFUNCTIONS” OF THE CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION
• Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation
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• Large time behavior of solutions of a dissipative semilnear heat equation
• Perturbation theory for \(m\)-accretive operators and generalized complex Ginzburg-Landau equations.
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