Global existence for the stochastic Degasperis-Procesi equation

Yong  Chen; Hongjun Gao

doi:10.3934/dcds.2015.35.5171

Article Contents

2015, Volume 35, Issue 11: 5171-5184. Doi: 10.3934/dcds.2015.35.5171

This issue Previous Article Preface Next Article The obstacle problem for quasilinear stochastic PDEs with non-homogeneous operator

Global existence for the stochastic Degasperis-Procesi equation

Yong Chen^1, and
Hongjun Gao^2,

1.
School of Science, Zhejiang Sci-Tech University, Hangzhou 310018
2.
Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems, School of Mathematical Science, Nanjing Normal University, Nanjing 210023

Received: March 2014

Revised: May 2014

Published: November 2015

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Abstract

This paper is concerned with the Cauchy problem of stochastic Degasperis-Procesi equation. Firstly, the local well-posedness for this system is established. Then the precise blow-up scenario for solutions to the system is derived. Finally, the gloabl well-posedness to the system is presented.

Keywords:

Mathematics Subject Classification: 60H15, 35L05, 35L70.

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