Essential m-dissipativity and hypocoercivity of Langevin dynamics with multiplicative noise

DOI10.1007/S00028-022-00773-YzbMath1503.37081arXiv2102.07012OpenAlexW3133218038MaRDI QIDQ2115107

Martin Grothaus, Alexander Bertram

Publication date: 15 March 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.07012

zbMATH Keywords

Fokker-Planck equationdissipativityLangevin equationself-adjointnessmultiplicative noisehypocoercivity

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear accretive operators, dissipative operators, etc. (47B44) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Fokker-Planck equations (35Q84)

Related Items (1)

Convergence rate for degenerate partial and stochastic differential equations via weak Poincaré inequalities

Cites Work

• Construction, ergodicity and rate of convergence of \(N\)-particle Langevin dynamics with singular potentials
• Hypercontractivity and applications for stochastic Hamiltonian systems
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
• Construction of \({\mathcal L}^{p}\)-strong Feller processes via Dirichlet forms and applications to elliptic diffusions
• ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
• GEOMETRIC LANGEVIN EQUATIONS ON SUBMANIFOLDS AND APPLICATIONS TO THE STOCHASTIC MELT-SPINNING PROCESS OF NONWOVENS AND BIOLOGY
• Hilbert space hypocoercivity for the Langevin dynamics revisited

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