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March/April 2016 Local well-posedness and persistence properties for the variable depth KDV general equations in Besov space $B^{ \frac 32 }_{2,1}$
Lili Fan, Hongjun Gao
Differential Integral Equations 29(3/4): 241-268 (March/April 2016).

Abstract

In this paper, we consider a nonlinear evolution equation for surface waves in shallow water over uneven bottom. First, the local well-posedness is obtained in Besov space $B^{ \frac 32 }_{2,1}$. Then, persistence properties on strong solutions are also investigated.

Citation

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Lili Fan. Hongjun Gao. "Local well-posedness and persistence properties for the variable depth KDV general equations in Besov space $B^{ \frac 32 }_{2,1}$." Differential Integral Equations 29 (3/4) 241 - 268, March/April 2016.

Information

Published: March/April 2016
First available in Project Euclid: 18 February 2016

zbMATH: 1374.35344
MathSciNet: MR3466166

Subjects:
Primary: 35B30, 35G25, 35Q53

Rights: Copyright © 2016 Khayyam Publishing, Inc.

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Vol.29 • No. 3/4 • March/April 2016
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