Journal article 1158 views 111 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,...
| Published in: | Discrete & Continuous Dynamical Systems - B |
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| ISSN: | 1553-524X 1553-524X |
| Published: |
USA
American Institute of Mathematical Sciences (AIMS)
2020
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa51133 |
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| 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, we verify the existing results in the literature by a comparably simpler method. |
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| Keywords: |
Ito’s formula; stochastic parabolic equation; energy estimate method. |
| College: |
Faculty of Science and Engineering |
| Issue: |
5 |
| Start Page: |
1715 |
| End Page: |
1728 |