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5 papers · 2 filters
Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d and applications
Sebastian Herr, Daniel Tataru, Nikolay Tzvetkov
We consider the energy critical nonlinear Schrödinger equation on periodic domains of the form R^m x T^{4-m} with m=0,1,2,3. Assuming that a certain L^4 Strichartz estimate holds f…
Existence and Uniqueness of Solutions to Nonlinear Evolution Equations with Locally Monotone Operators
Wei Liu
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of…
Random attractors for a class of stochastic partial differential equations driven by general additive noise
Benjamin Gess, Wei Liu, Michael Roeckner
The existence of random attractors for a large class of stochastic partial differential equations (SPDE) driven by general additive noise is established. The main results are appli…
Jensen measures in potential theory
Wolfhard Hansen, Ivan Netuka
It is shown that, for open sets in classical potential theory and - more generally - for elliptic harmonic spaces, the set of Jensen measures for a point is a simple union of close…
Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions
Sergio Albeverio, Hiroshi Kawabi, Michael Röckner
We prove -uniqueness of Dirichlet operators for Gibbs measures on the path space associated with exponential type interactions in infinite volu…