The korteweg-de vries equation with multiplicative homogeneous noise

Anne de Bouard; Arnaud Debussche

doi:10.1142/9789812770639_0004

The korteweg-de vries equation with multiplicative homogeneous noise

Anne de Bouard
, Arnaud Debussche

Centre national de la recherche scientifique
ENS Paris-Saclay

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We prove the global existence and uniqueness of solutions both in the energy space and in the space of square integrable functions for a Korteweg-de Vries equation with noise. The noise is multiplicative, white in time, and is the multiplication by the solution of a homogeneous noise in the space variable.

Original language	English
Title of host publication	Stochastic Differential Equations
Subtitle of host publication	Theory And Applications - A Volume In Honor Of Professor Boris L Rozovskii
Publisher	World Scientific Publishing Co.
Pages	113-133
Number of pages	21
ISBN (Electronic)	9789812770639
DOIs	https://doi.org/10.1142/9789812770639_0004
Publication status	Published - 1 Jan 2007

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BT - Stochastic Differential Equations

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The korteweg-de vries equation with multiplicative homogeneous noise

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