On the probabilistic Cauchy theory for nonlinear dispersive PDEs

Árpád Bényi, Tadahiro Oh, Oana Pocovnicu

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this note, we review some of the recent developments in the well-posedness theory of nonlinear dispersive partial differential equations with random initial data.

LanguageEnglish
Title of host publicationLandscapes of Time-Frequency Analysis
PublisherBirkhäuser
Pages1-32
Number of pages32
ISBN (Electronic)9783030052102
ISBN (Print)9783030052096
DOIs
Publication statusPublished - 2019

Publication series

NameApplied and Numerical Harmonic Analysis
PublisherBirkhäuser
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017

Fingerprint

Well-posedness
Cauchy
Partial differential equations
Partial differential equation
Review

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Bényi, Á., Oh, T., & Pocovnicu, O. (2019). On the probabilistic Cauchy theory for nonlinear dispersive PDEs. In Landscapes of Time-Frequency Analysis (pp. 1-32). (Applied and Numerical Harmonic Analysis). Birkhäuser. https://doi.org/10.1007/978-3-030-05210-2_1
Bényi, Árpád ; Oh, Tadahiro ; Pocovnicu, Oana. / On the probabilistic Cauchy theory for nonlinear dispersive PDEs. Landscapes of Time-Frequency Analysis. Birkhäuser, 2019. pp. 1-32 (Applied and Numerical Harmonic Analysis).
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Bényi, Á, Oh, T & Pocovnicu, O 2019, On the probabilistic Cauchy theory for nonlinear dispersive PDEs. in Landscapes of Time-Frequency Analysis. Applied and Numerical Harmonic Analysis, Birkhäuser, pp. 1-32. https://doi.org/10.1007/978-3-030-05210-2_1

On the probabilistic Cauchy theory for nonlinear dispersive PDEs. / Bényi, Árpád; Oh, Tadahiro; Pocovnicu, Oana.

Landscapes of Time-Frequency Analysis. Birkhäuser, 2019. p. 1-32 (Applied and Numerical Harmonic Analysis).

Research output: Chapter in Book/Report/Conference proceedingChapter

TY - CHAP

T1 - On the probabilistic Cauchy theory for nonlinear dispersive PDEs

AU - Bényi, Árpád

AU - Oh, Tadahiro

AU - Pocovnicu, Oana

PY - 2019

Y1 - 2019

N2 - In this note, we review some of the recent developments in the well-posedness theory of nonlinear dispersive partial differential equations with random initial data.

AB - In this note, we review some of the recent developments in the well-posedness theory of nonlinear dispersive partial differential equations with random initial data.

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UR - https://arxiv.org/abs/1805.08411

U2 - 10.1007/978-3-030-05210-2_1

DO - 10.1007/978-3-030-05210-2_1

M3 - Chapter

SN - 9783030052096

T3 - Applied and Numerical Harmonic Analysis

SP - 1

EP - 32

BT - Landscapes of Time-Frequency Analysis

PB - Birkhäuser

ER -

Bényi Á, Oh T, Pocovnicu O. On the probabilistic Cauchy theory for nonlinear dispersive PDEs. In Landscapes of Time-Frequency Analysis. Birkhäuser. 2019. p. 1-32. (Applied and Numerical Harmonic Analysis). https://doi.org/10.1007/978-3-030-05210-2_1