\(L^2\)-theory for transition semigroups associated to dissipative systems

DOI10.1007/s40072-022-00253-xarXiv2110.05271OpenAlexW4224255687WikidataQ114219514 ScholiaQ114219514MaRDI QIDQ6054239

D. A. Bignamini

Publication date: 27 September 2023

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.05271

zbMATH Keywords

dissipative systemsreaction-diffusion equationssemilinear stochastic partial differential equationsDirichletgeneralized mild solutioniinvariant measureYosida approximating

Mathematics Subject Classification ID

Gaussian processes (60G15) Stopping times; optimal stopping problems; gambling theory (60G40) Second-order elliptic equations (35J15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (2)

Functional inequalities for some generalised Mehler semigroups ⋮ Harnack inequalities with power \(\pmb{p\in (1,+\infty )}\) for transition semigroups in Hilbert spaces

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