Differential and Integral Equations

Local well-posedness and persistence properties for the variable depth KDV general equations in Besov space $B^{ \frac 32 }_{2,1}$

Lili Fan and Hongjun Gao

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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.

Article information

Source
Differential Integral Equations Volume 29, Number 3/4 (2016), 241-268.

Dates
First available in Project Euclid: 18 February 2016

Permanent link to this document
https://projecteuclid.org/euclid.die/1455806024

Mathematical Reviews number (MathSciNet)
MR3466166

Zentralblatt MATH identifier
06562176

Subjects
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10] 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx] 35G25: Initial value problems for nonlinear higher-order equations

Citation

Fan, Lili; Gao, Hongjun. 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 (2016), no. 3/4, 241--268. https://projecteuclid.org/euclid.die/1455806024.


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