Distribution-valued initial data for the complex ginzburg-landau equation

DOI10.1080/03605309708821254zbMath0880.35110OpenAlexW2036072016MaRDI QIDQ4349738

C. David Levermore, Marcel Oliver

Publication date: 25 August 1997

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309708821254

zbMATH Keywords

existenceinitial-value problemcomplex Ginzburg-Landau equation

Mathematics Subject Classification ID

Related Items (10)

Isometric decomposition operators, function spaces \(E_{p,q}^{\lambda}\) and applications to nonlinear evolution equations ⋮ Explicit and implicit solutions for the one-dimensional cubic and quintic complex Ginzburg-Landau equations ⋮ Regularity of the attractor for 3-D complex Ginzburg-Landau equation ⋮ Standing waves of the complex Ginzburg-Landau equation ⋮ Existence of standing waves for the complex Ginzburg-Landau equation ⋮ Controllability of the Ginzburg-Landau equation ⋮ Operator theory in the complex Ginzburg-Landau equation ⋮ Null controllability of the complex Ginzburg-Landau equation ⋮ A note on lax-mizohata theorem for quasilinear equations ⋮ The Cauchy problem for critical and subcritical semilinear parabolic equations in \(L^r\). II: Initial data in critical Sobolev spaces \(\dot{H}^{-s,r^s}\)

Cites Work

• Unnamed Item
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Weak and strong solutions of the complex Ginzburg-Landau equation
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Regularity of solutions and the convergence of the galerkin method in the ginzburg-landau equation

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