MetadataShow full item record
AbstractWe 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.
CitationGomes 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.
SponsorsThe 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.