A new type distribution-dependent SDE for singular nonlinear PDE

We propose a new type SDE depending on the future distributions with all initial values and establish the correspondence between this equation and the associated singular nonlinear PDE. Well-posedness and regularities are investigated.

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Bibliographic Details
Published inJournal of evolution equations Vol. 23; no. 2; p. 35
Main Author Wang, Feng-Yu
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2023
Springer Nature B.V
Subjects
Analysis
Brownian motion
Mathematics
Mathematics and Statistics
Partial differential equations
Random variables
60B05
35D35
Nonlinear PDE
35A01
60B10
Distribution-dependent SDE
Well-posedness
Online AccessGet full text
ISSN1424-3199
1424-3202
DOI10.1007/s00028-023-00890-2

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Summary:We propose a new type SDE depending on the future distributions with all initial values and establish the correspondence between this equation and the associated singular nonlinear PDE. Well-posedness and regularities are investigated.
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ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-023-00890-2