Asymptotic analysis of a Schr\"odinger-Poisson system with quantum wells and macroscopic nonlinearities in dimension 1

zbMath1224.81008arXiv1001.4601MaRDI QIDQ3000761

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Publication date: 30 May 2011

Full work available at URL: https://arxiv.org/abs/1001.4601

zbMATH Keywords

spectral theorysemi-classical analysisasymptotic analysisSchrödinger-Poisson system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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