Local and Global Existence of Solutions of the Ginzburg-Landau Type Equations

Local and Global Existence of Solutions of the Ginzburg-Landau Type Equations

Year:    2007

Journal of Partial Differential Equations, Vol. 20 (2007), Iss. 3 : pp. 220–246

Abstract

This paper is devoted to studying the initial value problem of the Ginzburg-Landau type equations. We treat the case where the nonlinear interaction function is a general continuous function, not required to satisfy any smoothness conditions. Local and global existence results of solutions of the problem are given. Decay estimates are also shown.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JPDE-5304

Journal of Partial Differential Equations, Vol. 20 (2007), Iss. 3 : pp. 220–246

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    27

Keywords:    Ginzburg-Landau type equations