We prove the well-posedness of periodic entropy (discontinuous) solutions for the Degasperis-Procesi equation. Partly motivated by the bounded periodic solutions found by Vakhnenko and Parkes \cite{PV}, we study the long-time asymptotic behavior of periodic entropy solutions.
Periodic Solutions of the Degasperis-Procesi equation: well-posedness and asymptotics / Coclite, Giuseppe Maria; Karlsen, K. H.. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 268:5(2015), pp. 1053-1077. [10.1016/j.jfa.2014.11.008]
Periodic Solutions of the Degasperis-Procesi equation: well-posedness and asymptotics
COCLITE, Giuseppe Maria;
2015-01-01
Abstract
We prove the well-posedness of periodic entropy (discontinuous) solutions for the Degasperis-Procesi equation. Partly motivated by the bounded periodic solutions found by Vakhnenko and Parkes \cite{PV}, we study the long-time asymptotic behavior of periodic entropy solutions.File in questo prodotto:
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