Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system

DOI10.1186/1687-2770-2014-108zbMath1304.35218OpenAlexW2117713935WikidataQ59323700 ScholiaQ59323700MaRDI QIDQ476983

Publication date: 2 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-108

zbMATH Keywords

dissipative persistence properties 2-component Degasperis-Procesi system exponentially decay at infinity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

Unnamed Item
The properties of solutions for a generalized \(b\)-family equation with peakons
Some properties of solutions to the weakly dissipative \(b\)-family equation
A note on a modified two-component Camassa-Holm system
Persistence properties and unique continuation of solutions to a two-component Camassa-Holm equation
Blow-up, global existence and persistence properties for the coupled Camassa-Holm equations
Properties of the solutions to the two-component \(b\)-family systems
On the Cauchy problem for the two-component Camassa-Holm system
Global weak solutions to the weakly dissipative Degasperis-Procesi equation
Well-posedness and persistence properties for the Novikov equation
Self-similar blowup solutions to the 2-component Degasperis-Procesi shallow water system
Asymptotic profiles of solutions to the two-component Camassa-Holm system
On an integrable two-component Camassa-Holm shallow water system
On the Cauchy problem for a two-component Degasperis-Procesi system
On a two-component Degasperis-Procesi shallow water system
Global weak solutions and blow-up structure for the Degasperis-Procesi equation
On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
Soliton, kink and antikink solutions of a 2-component of the Degasperis-Procesi equation
Some properties of solutions to the weakly dissipative Degasperis-Procesi equation
Global well-posedness for the Cauchy problem of the viscous Degasperis-Procesi equation
Global existence for a new periodic integrable equation.
A note on well-posedness for Camassa-Holm equation.
On the Cauchy problem for an integrable equation with peakon solutions
A few remarks on the Camassa-Holm equation.
Global weak solutions for a new periodic integrable equation with peakon solutions
On a shallow water equation perturbed in Schwartz class
Unique continuation and persistence properties of solutions of the 2-component Degasperis-Procesi equations
Wave breaking for a generalized weakly dissipative two-component Camassa-Holm system
Loop solutions, breaking kink (or anti-kink) wave solutions, solitary wave solutions and periodic wave solutions for the two-component Degasperis-Procesi equation
Global existence and blow-up phenomena for the Degasperis-Procesi equation
Persistence properties and unique continuation of solutions of the Camassa-Holm equation
Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients
On the weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov equations
Wave breaking of an integrable Camassa-Holm system with two components
Global existence and blow-up phenomena for a weakly dissipative periodic 2-component Camassa-Holm system
Global solutions to a new integrable equation with peakons
Global existence and blow-up phenomena for a weakly dissipative 2-component Camassa–Holm system
Blow-Up Phenomena and Decay for the Periodic Degasperis-Procesi Equation with Weak Dissipation

This page was built for publication: Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system