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

CNRS
ENS Paris-Saclay

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Chapitre › Revue par des pairs

Résumé

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.

langue originale	Anglais
titre	Stochastic Differential Equations
Sous-titre	Theory And Applications - A Volume In Honor Of Professor Boris L Rozovskii
Editeur	World Scientific Publishing Co.
Pages	113-133
Nombre de pages	21
ISBN (Electronique)	9789812770639
Les DOIs	https://doi.org/10.1142/9789812770639_0004
état	Publié - 1 janv. 2007

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10.1142/9789812770639_0004

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title = "The korteweg-de vries equation with multiplicative homogeneous noise",

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.",

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The korteweg-de vries equation with multiplicative homogeneous noise. / de Bouard, Anne; Debussche, Arnaud.
Stochastic Differential Equations: Theory And Applications - A Volume In Honor Of Professor Boris L Rozovskii. World Scientific Publishing Co., 2007. p. 113-133.

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Chapitre › Revue par des pairs

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The korteweg-de vries equation with multiplicative homogeneous noise

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