Well-posedness of stochastic partial differential equations with fully local monotone coefficients
M Röckner, S Shang, T Zhang - Mathematische Annalen, 2024 - Springer
Consider stochastic partial differential equations (SPDEs) with fully local monotone
coefficients in a Gelfand triple V⊆ H⊆ V∗: d X (t)= A (t, X (t)) dt+ B (t, X (t)) d W (t), t∈(0, T], X …
coefficients in a Gelfand triple V⊆ H⊆ V∗: d X (t)= A (t, X (t)) dt+ B (t, X (t)) d W (t), t∈(0, T], X …
The critical variational setting for stochastic evolution equations
In this paper we introduce the critical variational setting for parabolic stochastic evolution
equations of quasi-or semi-linear type. Our results improve many of the abstract results in …
equations of quasi-or semi-linear type. Our results improve many of the abstract results in …
An extrapolation result in the variational setting: improved regularity, compactness, and applications to quasilinear systems
In this paper we consider the variational setting for SPDE on a Gelfand triple $(V, H, V^*) $.
Under the standard conditions on a linear coercive pair $(A, B) $, and a symmetry condition …
Under the standard conditions on a linear coercive pair $(A, B) $, and a symmetry condition …
Well-posedness of stochastic evolution equations with H\" older continuous noise
K Schmitz, A Zimmermann - arXiv preprint arXiv:2403.11917, 2024 - arxiv.org
We show existence and pathwise uniqueness of probabilistically strong solutions to a
pseudomonotone stochastic evolution problem on a bounded domain $ D\subseteq\mathbb …
pseudomonotone stochastic evolution problem on a bounded domain $ D\subseteq\mathbb …
[引用][C] Nonlinear diffusion equations with and without memory and stochastic perturbation: theory and numerical approximation
K Schmitz - Dissertation, Duisburg, Essen …