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

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.

Keywords

Korteweg-de Vries-Benjamin-Ono (KdV-BO) equation / Fourier restriction norm / [k;Z]-multiplier / cylindrical Wiener process

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