Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation

DOI10.2140/apde.2021.14.617zbMath1479.35787arXiv1903.04309OpenAlexW3137812995MaRDI QIDQ2231280

Guillaume Ferriere

Publication date: 29 September 2021

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04309

zbMATH Keywords

semiclassical limitlarge-time behaviorlogarithmic Schrödinger equationWasserstein distancesWigner measuresharmonic Fokker-Planck operatorkinetic isothermal Euler system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Vlasov equations (35Q83) Time-dependent Schrödinger equations and Dirac equations (35Q41) Euler equations (35Q31) Fokker-Planck equations (35Q84)

Related Items (6)

Logarithmic Schrödinger equations in infinite dimensions ⋮ WKB analysis of the logarithmic nonlinear Schrödinger equation in an analytic framework ⋮ The focusing logarithmic Schrödinger equation: analysis of breathers and nonlinear superposition ⋮ Logarithmic Schrödinger equation and isothermal fluids ⋮ Recent developments on quasineutral limits for Vlasov-type equations ⋮ Logarithmic Schrödinger equation with quadratic potential*

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