Joshua Willems

activity

20222025

most citedRegularity theory for a new class of fractional parabolic stochastic evolution equations

3 citations · 6 across the 3 of their papers we have counts for

collaborators

4 papers

math.PR2025

Discrete-to-continuum limits of semilinear stochastic evolution equations in Banach spaces

Yves van Gennip, Jonas Latz, Joshua Willems

We study the convergence of semilinear parabolic stochastic evolution equations, posed on a sequence of Banach spaces approximating a limiting space and driven by additive white no…

math.AP2024★ 2 cited

Dirichlet problems associated to abstract nonlocal space-time differential operators

Joshua Willems

Let the abstract fractional space-time operator $(\partial_{t} + A)^{s}$ be given, where $s \in (0, \infty)$ and $- A : D (A) \subseteq X \to X$ is a linear operator generat…

math.PR2023★ 1 cited

Multiple and weak Markov properties in Hilbert spaces with applications to fractional stochastic evolution equations

Kristin Kirchner, Joshua Willems

We define various higher-order Markov properties for stochastic processes $(X (t))_{t \in T}$ , indexed by an interval $T \subseteq R$ and taking values in…

math.PR2022★ 3 cited

Regularity theory for a new class of fractional parabolic stochastic evolution equations

Kristin Kirchner, Joshua Willems

A new class of fractional-order stochastic evolution equations of the form $(\partial_{t} + A)^{γ} X (t) = W ˙^{Q} (t)$ , $t \in [0, T]$ , $γ \in (0, \infty)$ , is introduced, where $- A$ genera…