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

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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 L 2(ℝ) solution.

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Authors and Affiliations

  1. College of Applied Science, Beijing University of Technology, Beijing, 100124, China

    Guolian Wang

  2. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China

    Boling Guo

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  1. Guolian Wang
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  2. Boling Guo
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Correspondence to Guolian Wang.

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Wang, G., Guo, B. Well-posedness of stochastic Korteweg-de Vries-Benjamin-Ono equation. Front. Math. China 5, 161–177 (2010). https://doi.org/10.1007/s11464-009-0057-x

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

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