Massive reliance on practical systems has resulted in several security concerns. The ability
to identify anomalies is a critical safety feature enabled by anomaly diagnostic techniques …

We introduce the concept of kinetic maximal L p-regularity with temporal weights and prove
that this property is satisfied for the (fractional) Kolmogorov equation. We show that solutions …

Schauder regularity results in separable Hilbert spaces - ScienceDirect Skip to main contentSkip
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We consider the stochastic differential equation d X (t)=[AX (t)+ F (X (t))] dt+ C 1/2 d W (t), t>
0, X (0)= x∈ X, where X is a separable Hilbert space,{W (t)} t≥ 0 is a X-cylindrical Wiener …

Let X be a separable Hilbert space with norm⋅ and let T> 0. Let Q be a linear, self-adjoint,
positive, trace class operator on X, let F: X→ X be a (smooth enough) function and let W (t) …

In this paper we consider the symmetric Kolmogorov operator L= Δ+∇ μ μ·∇ on L 2 (RN, d
μ), where μ is the density of a probability measure on RN. Under general conditions on μ we …

In this article, we study for the‐realization of the vector‐valued Schrödinger operator. Using
a noncommutative version of the Dore–Venni theorem due to Monniaux and Prüss, we …

Calculating averages with respect to multimodal probability distributions is often necessary
in applications. Markov chain Monte Carlo (MCMC) methods to this end, which are based on …

We introduce the notion of kinetic maximal L^ 2 L 2-regularity with temporal weights for the
(fractional) Kolmogorov equation. In particular, we determine the function spaces for the …

Let X be a separable Hilbert space endowed with a non-degenerate centred Gaussian
measure γ γ, and let λ _1 λ 1 be the maximum eigenvalue of the covariance operator …