A discrete Schrödinger equation via optimal transport on graphs

DOI10.1016/j.jfa.2019.02.005zbMath1414.35205arXiv1705.07583OpenAlexW2963103933MaRDI QIDQ1729708

Shui-Nee Chow, Wuchen Li, Hao-Min Zhou

Publication date: 28 February 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07583

zbMATH Keywords

Fisher informationnonlinear Schrödinger equationsoptimal transportNelson's approach

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Hamilton-Jacobi theories (49L99)

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