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Local well-posedness and persistence properties for the variable depth KDV general equations in Besov space \(B_{2,1}^{\frac {3}{2}}\).

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Publication:265192
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zbMath1374.35344MaRDI QIDQ265192

Lili Fan, Hong-Jun Gao

Publication date: 1 April 2016

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

strong solutionlocal well-posednessshallow waterpersistence property


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25)


Related Items (5)

The Cauchy problem for shallow water waves of large amplitude in Besov space ⋮ On the generalized nonlinear Camassa-Holm equation ⋮ On the weak solutions and persistence properties for the variable depth KDV general equations ⋮ The Cauchy problem for generalized fractional Camassa-Holm equation in Besov space ⋮ The Cauchy problem for fractional Camassa-Holm equation in Besov space






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