Solvability of the Stochastic Degasperis-Procesi Equation

Lynnyngs K. Arruda, Nikolai V. Chemetov, Fernanda Cipriano

Research output: Contribution to journalArticlepeer-review

Abstract

This article studies the Stochastic Degasperis-Procesi equation on R with an additive noise. Applying the kinetic theory, and considering the initial conditions in L2(R) ∩ L2+δ(R) , for arbitrary small δ> 0 , we establish the existence of a global pathwise solution. Restricting to the particular case of zero noise, our result improves the deterministic solvability results that exist in the literature.

Original languageEnglish
JournalJournal of Dynamics and Differential Equations
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • Degasperis-Procesi equation
  • Solvability
  • Stochastic

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