Persistence properties for a generalized Camassa-Holm equation in weighted \(L^p\) spaces

DOI10.1016/j.jmaa.2013.09.022zbMath1332.35085OpenAlexW1983112683MaRDI QIDQ2260377

Shouming Zhou

Publication date: 10 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.09.022

zbMATH Keywords

unique continuation properties

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (16)

Persistence properties for the Fokas-Olver-Rosenau-Qiao equation in weighted \(L^{p}\) spaces ⋮ Persistence properties of a Camassa–Holm type equation with ( n + 1)-order non-linearities ⋮ Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator ⋮ Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation ⋮ Persistence property and analyticity for a shallow-water model with the Coriolis effect in weighted spaces ⋮ Persistence properties for the generalized Camassa-Holm equation ⋮ Persistence and asymptotic analysis of solutions of nonlinear wave equations ⋮ Local well-posedness and decay for some generalized shallow water equations ⋮ Persistence properties and blow-up phenomena for a generalized Camassa-Holm equation ⋮ Blow-up phenomena and the local well-posedness and ill-posedness of the generalized Camassa-Holm equation in critical Besov spaces ⋮ The global conservative solutions for the generalized Camassa-Holm equation ⋮ Well-posedness and wave breaking for a shallow water wave model with large amplitude ⋮ Continuity and asymptotic behaviors for a shallow water wave model with moderate amplitude ⋮ On the Cauchy problem for the generalized Camassa-Holm equation ⋮ Non‐uniform dependence and persistence properties for coupled Camassa–Holm equations ⋮ On weak solutions to a shallow water wave model of moderate amplitude

Cites Work

• The IVP for the Benjamin-Ono equation in weighted Sobolev spaces
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• The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Wave breaking for nonlinear nonlocal shallow water equations
• Stability of the Camassa-Holm solitons
• Well-posedness and analyticity for the Cauchy problem for the generalized Camassa-Holm equation
• Persistence properties and unique continuation of solutions of the Camassa-Holm equation
• On the scattering problem for the Camassa-Holm equation
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• A new asymptotic behavior of solutions to the Camassa-Holm equation
• Breakdown for the Camassa–Holm Equation Using Decay Criteria and Persistence in Weighted Spaces
• Extended Camassa-Holm Hierarchy and Conserved Quantities
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• Conservation laws of the Camassa–Holm equation
• Local Well-Posedness and Orbital Stability of Solitary Wave Solutions for the Generalized Camassa–Holm Equation
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