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The effect of noise intensity on parabolic equations

Guangying Lv, Hongjun Gao, Jinlong Wei, Jiang-lun Wu

Discrete & Continuous Dynamical Systems - B, Volume: 25, Issue: 5, Pages: 1715 - 1728

Swansea University Author: Jiang-lun Wu

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DOI (Published version): 10.3934/dcdsb.2019248

Abstract

In this paper, the effect of noise intensity on parabolic equations is considered. We focus on the effect of noise on the energy solutions of stochastic parabolic equations. By utilising Ito’s formula and energy estimate method, we obtain excitation indices of the solution u at time t. Furthermore,...

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Published in: Discrete & Continuous Dynamical Systems - B
ISSN: 1553-524X 1553-524X
Published: USA American Institute of Mathematical Sciences (AIMS) 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa51133
first_indexed 2019-07-18T21:37:33Z
last_indexed 2023-02-22T03:59:04Z
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spelling 2023-02-21T16:33:15.2715228 v2 51133 2019-07-18 The effect of noise intensity on parabolic equations dbd67e30d59b0f32592b15b5705af885 Jiang-lun Wu Jiang-lun Wu true false 2019-07-18 In this paper, the effect of noise intensity on parabolic equations is considered. We focus on the effect of noise on the energy solutions of stochastic parabolic equations. By utilising Ito’s formula and energy estimate method, we obtain excitation indices of the solution u at time t. Furthermore, we verify the existing results in the literature by a comparably simpler method. Journal Article Discrete & Continuous Dynamical Systems - B 25 5 1715 1728 American Institute of Mathematical Sciences (AIMS) USA 1553-524X 1553-524X Ito’s formula; stochastic parabolic equation; energy estimate method. 1 1 2020 2020-01-01 10.3934/dcdsb.2019248 http://dx.doi.org/10.3934/dcdsb.2019248 COLLEGE NANME COLLEGE CODE Swansea University 2023-02-21T16:33:15.2715228 2019-07-18T16:22:28.6490733 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Guangying Lv 1 Hongjun Gao 2 Jinlong Wei 3 Jiang-lun Wu 4 51133__14729__34560fe32c384255972894d4ce644fe1.pdf LGWW-2019.pdf 2019-07-18T16:28:20.3370000 Output 285400 application/pdf Accepted Manuscript true 2020-11-01T00:00:00.0000000 true eng
title The effect of noise intensity on parabolic equations
spellingShingle The effect of noise intensity on parabolic equations
Jiang-lun Wu
title_short The effect of noise intensity on parabolic equations
title_full The effect of noise intensity on parabolic equations
title_fullStr The effect of noise intensity on parabolic equations
title_full_unstemmed The effect of noise intensity on parabolic equations
title_sort The effect of noise intensity on parabolic equations
author_id_str_mv dbd67e30d59b0f32592b15b5705af885
author_id_fullname_str_mv dbd67e30d59b0f32592b15b5705af885_***_Jiang-lun Wu
author Jiang-lun Wu
author2 Guangying Lv
Hongjun Gao
Jinlong Wei
Jiang-lun Wu
format Journal article
container_title Discrete & Continuous Dynamical Systems - B
container_volume 25
container_issue 5
container_start_page 1715
publishDate 2020
institution Swansea University
issn 1553-524X
1553-524X
doi_str_mv 10.3934/dcdsb.2019248
publisher American Institute of Mathematical Sciences (AIMS)
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
url http://dx.doi.org/10.3934/dcdsb.2019248
document_store_str 1
active_str 0
description In this paper, the effect of noise intensity on parabolic equations is considered. We focus on the effect of noise on the energy solutions of stochastic parabolic equations. By utilising Ito’s formula and energy estimate method, we obtain excitation indices of the solution u at time t. Furthermore, we verify the existing results in the literature by a comparably simpler method.
published_date 2020-01-01T19:45:55Z
_version_ 1821345426999083008
score 11.04748

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