Essential m-dissipativity for possibly degenerate generators of infinite-dimensional diffusion processes
DOI10.1007/s00020-022-02707-2zbMath1494.35178arXiv2104.04561OpenAlexW4286491739WikidataQ114232076 ScholiaQ114232076MaRDI QIDQ2163592
Benedikt Eisenhuth, Martin Grothaus
Publication date: 10 August 2022
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.04561
essential m-dissipativityinfinite-dimensional degenerate diffusion processesinfinite-dimensional elliptic regularityKolmogorov backward operators in infinite dimensions
Smoothness and regularity of solutions to PDEs (35B65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Linear accretive operators, dissipative operators, etc. (47B44) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)
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Cites Work
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- Construction, ergodicity and rate of convergence of \(N\)-particle Langevin dynamics with singular potentials
- Hypocoercivity for Kolmogorov backward evolution equations and applications
- Sobolev regularity for a class of second order elliptic PDE's in infinite dimension
- Markov processes associated with \(L^{p}\)-resolvents and applications to stochastic differential equations on Hilbert space
- Hypocoercivity for kinetic equations with linear relaxation terms
- Selfadjointness of some infinite-dimensional elliptic operators and application to stochastic quantization
- Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures
- On generators of transition semigroups associated to semilinear stochastic partial differential equations
- Weak Poincaré inequalities for convergence rate of degenerate diffusion processes
- Construction of n-particle Langevin dynamics for \(H^{1,\infty}\)-potentials via generalized Dirichlet forms
- On a class of degenerate elliptic operators in \(L^{1}\) spaces with respect to invariant measures
- Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds
- Hypocoercivity
- The Topological Support of Gaussian Measure in Banach Space
- One-Parameter Semigroups for Linear Evolution Equations
- Stochastic Equations in Infinite Dimensions
- Ergodicity and Lyapunov Functions for Langevin Dynamics with Singular Potentials
- Statistical mechanics.
- Mathematical control theory: an introduction
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