Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Perturbation theory for m-accretive operators and generalized complex Ginzburg-Landau equations
Noboru OKAZAWA, Tomomi YOKOTA
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Keywords: Perturbation theory, accretive operators, semigroups of nonlinear operators, the complex Ginzburg-Landau equation
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2002 Volume 54 Issue 1 Pages 1-19

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Abstract
Global existence of unique strong solutions is proved for the generalized complex Ginzburg-Landau equation. The proof is based on a new type perturbation theorem for m-accretive operators in complex Hilbert spaces.
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