Abstract
n this note, we discuss various aspects of invariant measures for nonlinear Hamiltonian PDEs. In particular, we show almost sure global existence for some Hamiltonian PDEs with initial data of the form: "smooth deterministic function + a rough random perturbation", as a corollary to Cameron-Martin Theorem and known almost sure global existence results with respect to Gaussian measures on spaces of functions.
| Original language | English |
|---|---|
| Pages (from-to) | 483-501 |
| Number of pages | 19 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Volume | 59 |
| Issue number | 02 |
| Early online date | 17 Dec 2015 |
| DOIs | |
| Publication status | Published - May 2016 |
Keywords / Materials (for Non-textual outputs)
- Gibbs measures
- white noise
- invariant measures
- Cameron-Martin theorem
- almost sure global existence
Fingerprint
Dive into the research topics of 'On Cameron-Martin theorem and almost sure global existence'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver