Global weak solutions and blow-up structure for the Degasperis-Procesi equation

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  • University of Texas at Arlington
  • Sun Yat-Sen University
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OriginalspracheEnglisch
Seiten (von - bis)457-485
Seitenumfang29
FachzeitschriftJournal of Functional Analysis
Jahrgang241
Ausgabenummer2
PublikationsstatusVeröffentlicht - 15 Dez. 2006

Abstract

In this paper we study several qualitative properties of the Degasperis-Procesi equation. We first established the precise blow-up rate and then determine the blow-up set of blow-up strong solutions to this equation for a large class of initial data. We finally prove the existence and uniqueness of global weak solutions to the equation provided the initial data satisfies appropriate conditions.

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Global weak solutions and blow-up structure for the Degasperis-Procesi equation. / Escher, Joachim; Liu, Yue; Yin, Zhaoyang.
in: Journal of Functional Analysis, Jahrgang 241, Nr. 2, 15.12.2006, S. 457-485.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Escher J, Liu Y, Yin Z. Global weak solutions and blow-up structure for the Degasperis-Procesi equation. Journal of Functional Analysis. 2006 Dez 15;241(2):457-485. doi: 10.1016/j.jfa.2006.03.022
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