A new type distribution-dependent SDE for singular nonlinear PDE

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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Veröffentlicht in:Journal of evolution equations 2023-06, Vol.23 (2), Article 35
1. Verfasser: Wang, Feng-Yu
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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.
ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-023-00890-2