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math.PR2022★ 1 cited
Invariant cones for jump-diffusions in infinite dimensions
Stefan Tappe
In this paper we provide sufficient conditions for stochastic invariance of closed convex cones for stochastic partial differential equations (SPDEs) of jump-diffusion type, and cl…
math.PR2022
Distance between closed sets and the solutions to stochastic partial differential equations
Toshiyuki Nakayama, Stefan Tappe
The goal of this paper is to clarify when the solutions to stochastic partial differential equations stay close to a given subset of the state space for starting points which are c…
math.PR2022
An addendum to "Mild solutions to semilinear stochastic partial differential equations with locally monotone coefficients"
Stefan Tappe
In this addendum we provide an existence and uniqueness result for mild solutions to semilinear stochastic partial differential equations driven by Wiener processes and Poisson ran…