Invariance of the Gibbs measure for the Benjamin-Ono equation
By Yu Deng. 2012
60 citations recorded by the source corpus.
In this paper we consider the periodic Benjemin-Ono equation. We will establish the invariance of the Gibbs measure associated to this equation, thus answering a question raised in Tzvetkov [20]. As an intermediate step, we also obtain a local well-posedness result in Besov-type spaces rougher than L^2, extending the L^2 well-posedness result of Molinet [14].
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4a2d8f5d55ad37f49b5b65aa099ced26c04b32af
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In Applied Mathematics
- Nikolay Tzvetkov
- Nicolas Burq
- Laurent Thomann
- Tadahiro Oh
- D. Tataru
- Oana Pocovnicu
- Yu Deng
- Steve Zelditch
In Mathematical Physics
- Nikolay Tzvetkov
- Nicolas Burq
- Laurent Thomann
- Tadahiro Oh
- D. Tataru
- Oana Pocovnicu
- D. Mendelson
- Jonas Lührmann
Citations in the corpus
- Remarks on the Gibbs measures for nonlinear dispersive equations (2014, methodology): “ solutions on the support of the measure and prove its invariance (Theorem 1.2). A uniqueness result of the dynamics on the support of the measure was recently proven in a remarkable paper by Y. Deng [21]. Our third example concerns the periodic derivative Schrödinger equation. Here we use the measu”