SDEs with random and irregular coefficients

Guohuan Zhao ^[1]
1. [1] Bielefeld University
  
  Bielefeld University
  
  Kreisfreie Stadt Bielefeld, Alemania
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 3, 2022, págs. 947-980
Idioma: inglés
DOI: 10.4171/RMI/1313
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Resumen
- 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.