Continuity of the flow of KdV with regard to the Wasserstein metrics and application to an invariant measure

Federico Cacciafesta; Anne Sophie de Suzzoni

doi:10.1016/j.jde.2015.02.033

Continuity of the flow of KdV with regard to the Wasserstein metrics and application to an invariant measure

Federico Cacciafesta
, Anne Sophie de Suzzoni

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we prove the continuity of the flow of KdV on spaces of probability measures with respect to a combination of Wasserstein distances on H^s, s>0 and L². We are motivated by the existence of an invariant measure belonging to the spaces onto which these distances are defined.

Original language	English
Pages (from-to)	1024-1067
Number of pages	44
Journal	Journal of Differential Equations
Volume	259
Issue number	3
DOIs	https://doi.org/10.1016/j.jde.2015.02.033
Publication status	Published - 5 Aug 2015
Externally published	Yes

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title = "Continuity of the flow of KdV with regard to the Wasserstein metrics and application to an invariant measure",

abstract = "In this paper, we prove the continuity of the flow of KdV on spaces of probability measures with respect to a combination of Wasserstein distances on Hs, s>0 and L2. We are motivated by the existence of an invariant measure belonging to the spaces onto which these distances are defined.",

author = "Federico Cacciafesta and \{de Suzzoni\}, \{Anne Sophie\}",

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AB - In this paper, we prove the continuity of the flow of KdV on spaces of probability measures with respect to a combination of Wasserstein distances on Hs, s>0 and L2. We are motivated by the existence of an invariant measure belonging to the spaces onto which these distances are defined.

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DO - 10.1016/j.jde.2015.02.033

M3 - Article

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 3

ER -

Continuity of the flow of KdV with regard to the Wasserstein metrics and application to an invariant measure

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