A Note on the Degasperis-Procesi Equation

By Octavian G. Mustafa. 2005

89 citations recorded by the source corpus.

Abstract We prove that smooth solutions of the Degasperis-Procesi equation have infinite propagation speed: they loose instantly the property of having compact support.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7c24312bfb6fb8d243b50f1157d4e7f599f87323

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In Geometry and Topology

In Mathematical Physics

In Statistical and Nonlinear Physics

Citations in the corpus

On the well-posedness of the Degasperis-Procesi equation (2006, background): “Mustafa [30] proved that smooth solutions to (1.”
Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation (2006, methodology): “Analogous to the case of Camassa-Holm equation [8], Henry [27] and Mustafa [ 41 ] showed that smooth solutions to Eq. (1.2) have infinite speed of propagation.”
Stability of peakons for the Degasperis‐Procesi equation (2007, methodology): “Analogous to the case of Camassa-Holm equation [6], Henry [19] and Mustafa [29] showed that smooth solutions to equation (1.5) have infinite speed of propagation.”
Global weak solutions and blow-up structure for the Degasperis–Procesi equation (2006, result): “Analogous to the case of Camassa–Holm equation [9], Henry [26] and Mustafa [42] showed that smooth solutions to Eq.”
Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation (2007, methodology): “Analogous to the case of the Camassa-Holm equation [9], Henry [27] and Mustafa [39] showed that smooth solutions to Eq.”
ON THE UNIQUENESS OF DISCONTINUOUS SOLUTIONS TO THE DEGASPERIS–PROCESI EQUATION (2007, background): “Mustafa [19] proved that smooth solutions to (1.”