Subdifferential operator approach to strong wellposedness of the complex Ginzburg-Landau equation

DOI10.3934/dcds.2010.28.311zbMath1198.47089OpenAlexW2055635391MaRDI QIDQ977976

Tomomi Yokota, Noboru Okazawa

Publication date: 23 June 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2010.28.311

zbMATH Keywords

accretive operatorssmoothing effectcomplex Ginzburg-Landau equationsubdifferential operatorssemigroups of nonlinear operatorsstrong well-posedness

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications of operator theory to differential and integral equations (47N20) Nonlinear evolution equations (47J35)

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Global existence of a nonlinear Schrödinger equation with viscous damping ⋮ Cauchy problem for nonlinear Schrödinger equations with inverse-square potentials ⋮ Finite-parameter feedback control for stabilizing the complex Ginzburg-Landau equation ⋮ Existence and decay estimates of solutions to complex Ginzburg-Landau type equations ⋮ A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity ⋮ A simple approach to the Cauchy problem for complex Ginzburg-Landau equations by compactness methods ⋮ Some stability results for the complex Ginzburg–Landau equation ⋮ Monotonicity method applied to complex Ginzburg-Landau type equations ⋮ Operator theory in the complex Ginzburg-Landau equation ⋮ A generalized complex Ginzburg-Landau equation: global existence and stability results ⋮ Solvability of a class of complex Ginzburg-Landau equations in periodic Sobolev spaces

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