Journal article
The infinitesimal generator of the stochastic Burgers equation
- Abstract:
- We prove weak uniqueness of mild solutions for general classes of SPDEs on a Hilbert space. The main novelty is that the drift is only defined on a Sobolev-type subspace and no H\"older-continuity assumptions are required. This framework turns out to be effective to achieve novel uniqueness results for several specific examples. Such wide range of applications is obtained by exploiting either coloured or rougher-than-cylindrical noises.Comment: 43 page
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 708.1KB, Terms of use)
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- Publisher copy:
- 10.1007/s00440-020-00996-5
Authors
+ Engineering and Physical Sciences Research Council
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- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/R014604/1
- Publisher:
- Springer
- Journal:
- Probability Theory and Related Fields More from this journal
- Volume:
- 178
- Issue:
- 3-4
- Pages:
- 1067-1124
- Publication date:
- 2020-08-26
- DOI:
- EISSN:
-
1432-2064
- ISSN:
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0178-8051
- Language:
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English
- Keywords:
- Pubs id:
-
1307780
- Local pid:
-
pubs:1307780
- Source identifiers:
-
W3081238579
- Deposit date:
-
2025-08-20
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