SDEs with random and irregular coefficients

We consider Itô uniformly nondegenerate equations with random coefficients. When the coefficients satisfy some low regularity assumptions with respect to the spatial variables and Malliavin differentiability assumptions on the sample points, the unique solvability of singular SDEs is proved by solvi...

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Veröffentlicht in:Revista matemática iberoamericana 2022-05, Vol.38 (3), p.947-980
1. Verfasser: Zhao, Guohuan
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider Itô uniformly nondegenerate equations with random coefficients. When the coefficients satisfy some low regularity assumptions with respect to the spatial variables and Malliavin differentiability assumptions on the sample points, the unique solvability of singular SDEs is proved by solving backward stochastic Kolmogorov equations and utilizing a modified Zvonkin type transformation.
ISSN:0213-2230
2235-0616
DOI:10.4171/RMI/1313