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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

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DOI (Published version): 10.1142/S0219025717500230

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
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URI: https://cronfa.swan.ac.uk/Record/cronfa33135
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first_indexed 2017-05-01T13:06:19Z
last_indexed 2018-02-09T05:21:47Z
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spelling 2018-02-06T10:19:17.0346263 v2 33135 2017-05-01 Closability of quadratic forms associated to invariant probability measures of SPDEs 6734caa6d9a388bd3bd8eb0a1131d0de 0000-0003-0950-1672 Feng-yu Wang Feng-yu Wang true false 2017-05-01 SMA 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. Journal Article Infinite Dimensional Analysis, Quantum Probability and Related Topics 20 04 1750023 0219-0257 1793-6306 5 12 2017 2017-12-05 10.1142/S0219025717500230 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2018-02-06T10:19:17.0346263 2017-05-01T12:08:56.3394999 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Michael Röckner 1 Feng-yu Wang 0000-0003-0950-1672 2 0033135-19072017100629.pdf 1607.02563.pdf 2017-07-19T10:06:29.6470000 Output 180595 application/pdf Accepted Manuscript true 2018-12-05T00:00:00.0000000 true eng
title Closability of quadratic forms associated to invariant probability measures of SPDEs
spellingShingle Closability of quadratic forms associated to invariant probability measures of SPDEs
Feng-yu Wang
title_short Closability of quadratic forms associated to invariant probability measures of SPDEs
title_full Closability of quadratic forms associated to invariant probability measures of SPDEs
title_fullStr Closability of quadratic forms associated to invariant probability measures of SPDEs
title_full_unstemmed Closability of quadratic forms associated to invariant probability measures of SPDEs
title_sort Closability of quadratic forms associated to invariant probability measures of SPDEs
author_id_str_mv 6734caa6d9a388bd3bd8eb0a1131d0de
author_id_fullname_str_mv 6734caa6d9a388bd3bd8eb0a1131d0de_***_Feng-yu Wang
author Feng-yu Wang
author2 Michael Röckner
Feng-yu Wang
format Journal article
container_title Infinite Dimensional Analysis, Quantum Probability and Related Topics
container_volume 20
container_issue 04
container_start_page 1750023
publishDate 2017
institution Swansea University
issn 0219-0257
1793-6306
doi_str_mv 10.1142/S0219025717500230
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description 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.
published_date 2017-12-05T03:40:46Z
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score 11.017016

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