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math.PR2023
- estimates for transition semigroups associated to dissipative stochastic systems
Luciana Angiuli, Davide A. Bignamini, Simone Ferrari
In a separable Hilbert space, we study supercontractivity and ultracontractivity properties for a transition semigroups associated with a stochastic partial differential equations.…
math.PR2023
Pathwise uniqueness for stochastic heat and damped equations with Hölder continuous drift
Davide Addona, Davide A. Bignamini
In this paper, we prove pathwise uniqueness for stochastic differential equations in infinite dimension. Under our assumptions, we are able to consider the stochastic heat equation…