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

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 L 2 (ℝ) solut...

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Bibliographic Details
Published inFrontiers of mathematics in China Vol. 5; no. 1; pp. 161 - 177
Main Authors Wang, Guolian, Guo, Boling
Format Journal Article
LanguageEnglish
Published Heidelberg SP Higher Education Press 2010
Springer Nature B.V
Subjects
Brownian motion
Computational mathematics
Estimates
Fourier analysis
Fourier transforms
Mathematics
Mathematics and Statistics
Propagation
Research Article
Stochastic models
Studies
35L70
multiplier
35Q55
Fourier restriction norm
[
;
cylindrical Wiener process
Korteweg-de Vries-Benjamin-Ono (KdV-BO) equation
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Summary: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 L 2 (ℝ) solution.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1673-3452
1673-3576
DOI:10.1007/s11464-009-0057-x