Frontiers of Mathematics in China >

2010 , Vol. 5 >Issue 1: 161 - 177

DOI: https://doi.org/10.1007/s11464-009-0057-x

Research articles

Well-posedness of stochastic Korteweg-de Vries–Benjamin–Ono equation

Expand
  • 1.College of Applied Science, Beijing University of Technology, Beijing 100124, China; 2.Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;

Published date: 05 Mar 2010

Fold

Abstract

In this paper, we consider the stochastic Korteweg-de Vries–Benjamin–Ono equation with white noise. Using Fourier restriction norm method and some basic inequalities, we obtain a local existence and uniqueness result for the solution of this problem. We also get global existence of the L2(R) solution.

Key words： Korteweg-de Vries–Benjamin–Ono (KdV-BO) equation, Fourier restriction norm, [k; Z]-multiplier, cylindrical Wiener process

Cite this article

Guolian WANG, Boling GUO, . Well-posedness of stochastic Korteweg-de Vries–Benjamin–Ono equation[J]. Frontiers of Mathematics in China, 2010 , 5(1) : 161 -177 . DOI: 10.1007/s11464-009-0057-x

Options
Outlines

/

〈 〉