M. Rockner

activity

19982005

most citedThe semigroup of the Glauber dynamics of a continuous system of free particles

1 citations · 1 across the 2 of their papers we have counts for

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math.PR2005

Gradient Bounds for Solutions of Elliptic and Parabolic Equations

Vladimir I. Bogachev, Giuseppe Da Prato, Michael Röckner +1

Let $L$ be a second order elliptic operator on $R^{d}$ with a constant diffusion matrix and a dissipative (in a weak sense) drift $b \in L_{l oc}^{p}$ with some $p > d$ . We assume that $L…

math.PR2004★ 1 cited

The semigroup of the Glauber dynamics of a continuous system of free particles

Yuri Kondratiev, Eugene Lytvynov, Michael Röckner

We study properties of the semigroup $(e^{- t H})_{t \geq 0}$ on the space $L^{2} (Γ_{X}, π)$ , where $Γ_{X}$ is the configuration space over a locally compact second countable Hausdorff topol…

math.PR1998

Strong uniqueness for certain infinite dimensional Dirichlet operators and applications to stochastic quantization

Vitali Liskevich, Michael Röckner

Strong and Markov uniqueness problems in $L^{2}$ for Dirichlet operators on rigged Hilbert spaces are studied. An analytic approach based on a--priori estimates is used. The extensio…