Journal article 528 views 102 downloads
The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation
Xiuwei Yin,
Guangjun Shen,
Jiang-lun Wu 
Analysis and Applications, Volume: 20, Issue: 04, Pages: 777 - 789
Swansea University Author:
Jiang-lun Wu
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DOI (Published version): 10.1142/s0219530521500172
Abstract
In this paper, we study the stability of quasilinear parabolic stochastic partial dif- ferential equations with multiplicative noise, which are neither monotone nor locally monotone. The exponential mean square stability and pathwise exponential stability of the solutions are estab- lished. Moreover...
| Published in: | Analysis and Applications |
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| ISSN: | 0219-5305 1793-6861 |
| Published: |
Singapore
World Scientific Pub Co Pte Ltd
2022
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa57178 |
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| Abstract: |
In this paper, we study the stability of quasilinear parabolic stochastic partial dif- ferential equations with multiplicative noise, which are neither monotone nor locally monotone. The exponential mean square stability and pathwise exponential stability of the solutions are estab- lished. Moreover, under certain hypothesis on the stochastic perturbations, pathwise exponential stability can be derived, without utilzing the mean square stability. |
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| Keywords: |
Quasilinear stochastic partial differential equations; exponential stability; stabilization. |
| College: |
Faculty of Science and Engineering |
| Issue: |
04 |
| Start Page: |
777 |
| End Page: |
789 |