SMALL GLOBAL SOLUTIONS FOR NONLINEAR COMPLEX GINZBURG–LANDAU EQUATIONS AND NONLINEAR DISSIPATIVE WAVE EQUATIONS IN SOBOLEV SPACES

DOI10.1142/S0129055X11004473zbMath1231.35243OpenAlexW2004864568MaRDI QIDQ3098870

Makoto Nakamura

Publication date: 18 November 2011

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x11004473

zbMATH Keywords

Sobolev spacesCauchy problemsGinzburg-Landau equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order parabolic equations (35K15) Initial value problems for higher-order parabolic equations (35K30) Ginzburg-Landau equations (35Q56)

Related Items (6)

On the existence time of local solutions for critical semilinear Schrödinger equations in Sobolev spaces ⋮ On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space ⋮ The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime ⋮ Remarks on global solutions of dissipative wave equations with exponential nonlinear terms ⋮ On nonlinear Schrödinger equations derived from the nonrelativistic limit of nonlinear Klein-Gordon equations in de Sitter spacetime ⋮ Remarks on the Cauchy problem of Klein-Gordon equations with weighted nonlinear terms

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