129 citations · 466 across the 72 of their papers we have counts for
88 papers
No free lunch for continuity of stochastic convolutions
Mark Veraar, Joris van Winden
We construct compact, exponentially stable -semigroups on Hilbert spaces such that, for every , the stochastic convolution $U_g(t)=\int_0^t S(t-s)g(s)\,\mathrm{d}…
Necessary conditions for deterministic and stochastic maximal regularity
Emiel Lorist, Jan van Neerven, Mark Veraar +1
We study the role of Banach space geometry in deterministic and stochastic maximal regularity. We first construct an example showing that the UMD assumption in the characterisation…
A solution to the inverse generator problem and related questions
Emiel Lorist, Martin Meyries, Mark Veraar
We give a negative solution to the inverse generator problem on Hilbert spaces. More precisely, we construct a bounded operator with dense range on a Hilbert space that gen…
An optimal local theory for reaction-diffusion equations driven by non-trace-class noise
Antonio Agresti, Fabian Germ, Mark Veraar
We study local well-posedness for a class of stochastic reaction-diffusion equations driven by multiplicative, possibly colored, noise. The interaction between rough stochastic for…
Maximal regularity for evolution equations with critical singular perturbations
Esmée Theewis, Mark Veraar
Assuming has maximal -regularity, this paper investigates perturbations of by time-dependent operators that are unbounded and satisfy a critical -integrabilit…
Operator-valued Fourier multipliers of bounded s-variation
Chenxi Deng, Emiel Lorist, Mark Veraar
In this paper, we establish an operator-valued Fourier multiplier theorem in weighted Lebesgue spaces, Besov and Triebel--Lizorkin spaces, assuming the multiplier has …