The effect of noise intensity on parabolic equations

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

doi:10.3934/dcdsb.2019248

Journal article 870 views 87 downloads

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
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa51133
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first_indexed	2019-07-18T21:37:33Z
last_indexed	2023-02-22T03:59:04Z
id	cronfa51133
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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 0000-0003-4568-7013 Jiang-lun Wu Jiang-lun Wu true false 2019-07-18 SMA 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 Mathematics COLLEGE CODE SMA 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 0000-0003-4568-7013 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
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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
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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	2020-01-01T04:02:54Z
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score	11.013148

The effect of noise intensity on parabolic equations

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