Perturbation theory for m-accretive operators and generalized complex Ginzburg-Landau equations

Noboru OKAZAWA; Tomomi YOKOTA

doi:10.2969/jmsj/1191593952

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Home > Journals > J. Math. Soc. Japan > Volume 54 > Issue 1 > Article

January, 2002 Perturbation theory for

m

-accretive operators and generalized complex Ginzburg-Landau equations

Noboru OKAZAWA, Tomomi YOKOTA

J. Math. Soc. Japan 54(1): 1-19 (January, 2002). DOI: 10.2969/jmsj/1191593952

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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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Noboru OKAZAWA. Tomomi YOKOTA. "Perturbation theory for $m$ -accretive operators and generalized complex Ginzburg-Landau equations." J. Math. Soc. Japan 54 (1) 1 - 19, January, 2002. https://doi.org/10.2969/jmsj/1191593952

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Published: January, 2002

First available in Project Euclid: 5 October 2007

zbMATH: 1045.35080

MathSciNet: MR1864925

Digital Object Identifier: 10.2969/jmsj/1191593952

Subjects:

Primary: 47H06

Secondary: 35Q55 , 47H20

Keywords: Accretive operators , Perturbation theory , semigroups of nonlinear operators , the complex Ginzburg-Landau equation

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J. Math. Soc. Japan

Vol.54 • No. 1 • January, 2002

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Noboru OKAZAWA, Tomomi YOKOTA "Perturbation theory for

m

-accretive operators and generalized complex Ginzburg-Landau equations," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 54(1), 1-19, (January, 2002)

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