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Closability of quadratic forms associated to invariant probability measures of SPDEs

Michael Röckner, Feng-yu Wang Orcid Logo

Infinite Dimensional Analysis, Quantum Probability and Related Topics, Volume: 20, Issue: 04, Start page: 1750023

Swansea University Author: Feng-yu Wang Orcid Logo

Abstract

By using the integration by parts formula of a Markov operator, the closability of quadratic forms associated to the corresponding invariant probability measure is proved. The general result is applied to the study of semilinear SPDEs, infinite-dimensional stochastic Hamiltonian systems, and semilin...

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Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics
ISSN: 0219-0257 1793-6306
Published: 2017
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa33135
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Abstract: By using the integration by parts formula of a Markov operator, the closability of quadratic forms associated to the corresponding invariant probability measure is proved. The general result is applied to the study of semilinear SPDEs, infinite-dimensional stochastic Hamiltonian systems, and semilinear SPDEs with delay.
College: Faculty of Science and Engineering
Issue: 04
Start Page: 1750023