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

We provide a complete elaboration of the L 2 -Hilbert space hypocoercivity theorem for the degenerate Langevin dynamics with multiplicative noise, studying the longtime behavior of the strongly continuous contraction semigroup solving the abstract Cauchy problem for the associated backward Kolmogoro...

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Veröffentlicht in:	Journal of evolution equations 2022-03, Vol.22 (1), Article 11
Hauptverfasser:	Bertram, Alexander, Grothaus, Martin
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Cauchy problems Differential equations Diffusion Diffusion coefficient Dirichlet problem Hilbert space Martingales Mathematics Mathematics and Statistics Noise Operators (mathematics) Perturbation theory Semigroups
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