Asymptotic decay estimates for the repulsive Schrödinger–Poisson system

DOI10.1002/mma.454zbMath1042.35076OpenAlexW2142425148MaRDI QIDQ4458746

Óscar Sánchez, Juan Soler

Publication date: 15 March 2004

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.454

zbMATH Keywords

decay estimatesGalilean invarianceSchrödinger-Poisson systemdispersive properties

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37) Dispersion theory, dispersion relations arising in quantum theory (81U30)

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Quantitative properties on the steady states to a Schrödinger-Poisson-Slater system ⋮ Stability of the standing waves of the concentrated NLSE in dimension two ⋮ Normalized solutions for fractional Schrödinger-Poisson system with general nonlinearities ⋮ A Space-Time Wigner Function Approach to Long Time Schrödinger--Poisson Dynamics ⋮ A Non-Markovian Phase Space Approach to Schrödinger Dynamics: The Space-Time Wigner Transform ⋮ Logarithmic estimates for mean-field models in dimension two and the Schrödinger-Poisson system ⋮ EXISTENCE OF STEADY STATES FOR THE MAXWELL–SCHRÖDINGER–POISSON SYSTEM: EXPLORING THE APPLICABILITY OF THE CONCENTRATION–COMPACTNESS PRINCIPLE

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