Probabilistic well-posedness of generalized KDV

Gyeongha Hwang; Chulkwang Kwak

doi:10.1090/proc/13718

Probabilistic well-posedness of generalized KDV

Gyeongha Hwang, Chulkwang Kwak

Department of Mathematics

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

4 Scopus citations

Abstract

We consider the Cauchy problem of the generalized Korteweg-de Vries (gKdV) equation. We prove the local well-posedness of the mass supercritical gKdV equations for the scaling supercritical regularity (Formula Presented) in the sense of the probabilistic manner. The main ingredient is to establish the probabilistic local smoothing estimate.

Original language	English
Pages (from-to)	267-280
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	146
Issue number	1
DOIs	https://doi.org/10.1090/proc/13718
State	Published - 2018

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© 2017 American Mathematical Society.

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abstract = "We consider the Cauchy problem of the generalized Korteweg-de Vries (gKdV) equation. We prove the local well-posedness of the mass supercritical gKdV equations for the scaling supercritical regularity (Formula Presented) in the sense of the probabilistic manner. The main ingredient is to establish the probabilistic local smoothing estimate.",

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AB - We consider the Cauchy problem of the generalized Korteweg-de Vries (gKdV) equation. We prove the local well-posedness of the mass supercritical gKdV equations for the scaling supercritical regularity (Formula Presented) in the sense of the probabilistic manner. The main ingredient is to establish the probabilistic local smoothing estimate.

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Probabilistic well-posedness of generalized KDV

Abstract

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