S. Peszat

collaborators

2 papers

math-ph2025

Semigroups on generalized Sobolev spaces associated with Laplacians with applications Stochastic PDEs with singular boundary conditions

Sergio Albeverio, ZdzisÅaw BrzeÅºniak, Szymon Peszat

Laplacians associated with domains with singular boundary conditions and are considered together with semigroups on generalized Sobolev spaces, they generate. Applications are give…

math.PR2024

Differentiability of transition semigroup of generalized Ornstein-Uhlenbeck process: a probabilistic approach

Ben Goldys, Szymon Peszat

Let $P_{s} I ¨ (x) = E I ¨ (X^{x} (s))$ , be the transition semigroup on the space $B_{b} (E)$ of bounded measurable functions on a Banach space $E$ , of the Markov family defined by the…