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Averaging principle for fractional heat equations driven by stochastic measures

Guangjun Shen, Jiang-lun Wu Orcid Logo, Xiuwei Yin

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

Swansea University Author: Jiang-lun Wu Orcid Logo

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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
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URI: https://cronfa.swan.ac.uk/Record/cronfa53933
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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 0000-0003-4568-7013 Jiang-lun Wu Jiang-lun Wu true false 2020-04-11 SMA 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 Mathematics COLLEGE CODE SMA 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 0000-0003-4568-7013 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
active_str 0
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 2020-08-01T04:07:11Z
_version_ 1763753518471053312
score 11.013148

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