The Cauchy Problem of the Modified Kawahara Equation

The Cauchy Problem of the Modified Kawahara Equation

Year:    2006

Journal of Partial Differential Equations, Vol. 19 (2006), Iss. 2 : pp. 126–146

Abstract

In this paper, we consider the local and global solutions for the modified Kawahara equation with data in the homogeneous and nonhomogeneous Besov space and the scattering result for small data. The techniques to be used are adapted from Kato's smoothing effect and the maximal function (in time) estimate for the free Kawahara operator e^{-ϒ^{t∂^5_x}}.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-JPDE-5324

Journal of Partial Differential Equations, Vol. 19 (2006), Iss. 2 : pp. 126–146

Published online:    2006-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Modified Kawahara equation