Article ID Journal Published Year Pages File Type
4589965 Journal of Functional Analysis 2015 25 Pages PDF
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 [21], we study the long-time asymptotic behavior of periodic entropy solutions.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Periodic solutions of the Degasperis–Procesi equation: Well-posedness and asymptotics
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