Type
ArticleAuthors
Gomes, Diogo A.
Nurbekyan, Levon

KAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Date
2016-08-31Online Publication Date
2016-08-31Print Publication Date
2016-08Permanent link to this record
http://hdl.handle.net/10754/622516
Metadata
Show full item recordAbstract
We develop several aspects of the infinite-dimensional Weak KAM theory using a random variables' approach. We prove that the infinite-dimensional cell problem admits a viscosity solution that is a fixed point of the Lax-Oleinik semigroup. Furthermore, we show the existence of invariant minimizing measures and calibrated curves defined on R.Citation
Gomes D, Nurbekyan L (2016) An infinite-dimensional weak KAM theory via random variables. Discrete and Continuous Dynamical Systems 36: 6167–6185. Available: http://dx.doi.org/10.3934/dcds.2016069.Sponsors
The first author was partially supported by KAUST baseline and start-up funds and KAUST SRI, Center for Uncertainty Quanti cation in Computational Science and Engineering.arXiv
1508.00154ae974a485f413a2113503eed53cd6c53
10.3934/dcds.2016069