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Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes
Zhao Dong,
Feng-yu Wang 
,
Lihu Xu
,
Lihu Xu
Potential Analysis
Swansea University Author:
Feng-yu Wang
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DOI (Published version): 10.1007/s11118-018-9736-0
Abstract
The irreducibility, moderate deviation principle and $\psi$-uniformly exponential ergodicity with $\psi(x):=1+\|x\|_0$ are proved for stochastic Burgers equation driven by the $\aa$-stable processes for $\aa\in (1,2),$ where the first two are new for the present model, and the last strengthens the e...
| Published in: | Potential Analysis |
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| ISSN: | 0926-2601 1572-929X |
| Published: |
2018
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa43555 |
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| Abstract: |
The irreducibility, moderate deviation principle and $\psi$-uniformly exponential ergodicity with $\psi(x):=1+\|x\|_0$ are proved for stochastic Burgers equation driven by the $\aa$-stable processes for $\aa\in (1,2),$ where the first two are new for the present model, and the last strengthens the exponential ergodicity under total variational norm derived in \cite{Do-Xu-Zh-14}. |
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| College: |
Faculty of Science and Engineering |