The Schrödinger–Poisson System on the Sphere

DOI10.1137/100813634zbMath1231.35229arXiv1011.1086OpenAlexW2963923169MaRDI QIDQ3097485

Florian Méhats, Patrick Gérard

Publication date: 10 November 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1086

zbMATH Keywords

asymptotic analysisSchrödinger-Poissonmultilinear Strichartz estimatesconfined quantum transport

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) PDEs on manifolds (35R01)

Related Items (3)

Construction of a stable periodic solution to a semilinear heat equation with a prescribed profile ⋮ Splitting-based schemes for numerical solution of nonlinear diffusion equations on a sphere ⋮ Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve

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