| Title:
|
Uniform exponential ergodicity of stochastic dissipative systems (English) |
| Author:
|
Goldys, Beniamin |
| Author:
|
Maslowski, Bohdan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
51 |
| Issue:
|
4 |
| Year:
|
2001 |
| Pages:
|
745-762 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study ergodic properties of stochastic dissipative systems with additive noise. We show that the system is uniformly exponentially ergodic provided the growth of nonlinearity at infinity is faster than linear. The abstract result is applied to the stochastic reaction diffusion equation in $\mathbb{R}^d$ with $d\le 3$. (English) |
| Keyword:
|
dissipative system |
| Keyword:
|
compact semigroup |
| Keyword:
|
exponential ergodicity |
| Keyword:
|
spectral gap |
| MSC:
|
37A30 |
| MSC:
|
47A35 |
| MSC:
|
60H10 |
| MSC:
|
60H15 |
| MSC:
|
60J99 |
| idZBL:
|
Zbl 1001.60067 |
| idMR:
|
MR1864040 |
| . |
| Date available:
|
2009-09-24T10:46:58Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127684 |
| . |
| Reference:
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