Project B1: New trends in stochastic partial differential equations

Summary:

The research in Project B1 is structured in the following five parts: (I) Path distribution dependent stochastic partial differential equations (SPDEs) and probabilistic representation for stochastic nonlinear Fokker–Planck–Kolmogorov equations (FPKEs); (II) Nonuniqueness versus restricted uniqueness in law and pathwise uniqueness via low order regularity for Kolmogorov operators of SPDEs; (III) Singular SPDEs; (IV) Rescaling transformation and optimal control for SPDEs and stochastic variational inequalities (SVIs); (V) Supercritical stochastic differential equations (SDEs).

Recent Preprints: