Averaging principle for fractional heat equations driven by stochastic measures

Shen, Guangjun; Wu, Jiang-lun; Yin, Xiuwei

doi:10.1016/j.aml.2020.106404

Journal article 1068 views 349 downloads

Averaging principle for fractional heat equations driven by stochastic measures

Guangjun Shen, Jiang-lun Wu, Xiuwei Yin

Applied Mathematics Letters, Volume: 106, Start page: 106404

Swansea University Author: Jiang-lun Wu

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DOI (Published version): 10.1016/j.aml.2020.106404

Abstract

In this paper, by utilising Besov space techniques, we establish the time averaging principle for a heat equation with fractional Laplace driven by a general stochastic measure $\mu$ which is assumed (only) to satisfy the $\sigma$-additivity in probability.

Published in:	Applied Mathematics Letters
ISSN:	0893-9659
Published:	Elsevier BV 2020
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa53933

first_indexed	2020-04-11T19:56:17Z
last_indexed	2021-03-16T04:17:11Z
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spelling	2021-03-15T12:32:44.8290509 v2 53933 2020-04-11 Averaging principle for fractional heat equations driven by stochastic measures dbd67e30d59b0f32592b15b5705af885 Jiang-lun Wu Jiang-lun Wu true false 2020-04-11 In this paper, by utilising Besov space techniques, we establish the time averaging principle for a heat equation with fractional Laplace driven by a general stochastic measure $\mu$ which is assumed (only) to satisfy the $\sigma$-additivity in probability. Journal Article Applied Mathematics Letters 106 106404 Elsevier BV 0893-9659 Averaging principle; fractional heat equation; stochastic measure; Besov space 1 8 2020 2020-08-01 10.1016/j.aml.2020.106404 COLLEGE NANME COLLEGE CODE Swansea University 2021-03-15T12:32:44.8290509 2020-04-11T17:43:49.9001712 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Guangjun Shen 1 Jiang-lun Wu 2 Xiuwei Yin 3 53933__17047__e67eeb0fd5c54ee99bd25848cb776e1e.pdf ShenWuYin-AML-D-20-00213.pdf 2020-04-11T18:04:20.3906880 Output 267101 application/pdf Accepted Manuscript true 2021-04-18T00:00:00.0000000 Released under the terms of a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND). true eng https://creativecommons.org/licenses/by-nc-nd/4.0/
title	Averaging principle for fractional heat equations driven by stochastic measures
spellingShingle	Averaging principle for fractional heat equations driven by stochastic measures Jiang-lun Wu
title_short	Averaging principle for fractional heat equations driven by stochastic measures
title_full	Averaging principle for fractional heat equations driven by stochastic measures
title_fullStr	Averaging principle for fractional heat equations driven by stochastic measures
title_full_unstemmed	Averaging principle for fractional heat equations driven by stochastic measures
title_sort	Averaging principle for fractional heat equations driven by stochastic measures
author_id_str_mv	dbd67e30d59b0f32592b15b5705af885
author_id_fullname_str_mv	dbd67e30d59b0f32592b15b5705af885_***_Jiang-lun Wu
author	Jiang-lun Wu
author2	Guangjun Shen Jiang-lun Wu Xiuwei Yin
format	Journal article
container_title	Applied Mathematics Letters
container_volume	106
container_start_page	106404
publishDate	2020
institution	Swansea University
issn	0893-9659
doi_str_mv	10.1016/j.aml.2020.106404
publisher	Elsevier BV
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
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description	In this paper, by utilising Besov space techniques, we establish the time averaging principle for a heat equation with fractional Laplace driven by a general stochastic measure $\mu$ which is assumed (only) to satisfy the $\sigma$-additivity in probability.
published_date	2020-08-01T04:47:21Z
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score	11.089407

Averaging principle for fractional heat equations driven by stochastic measures

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