Scattering theory in homogeneous Sobolev spaces for Schrödinger and wave equations with rough potentials
DOI10.1063/5.0019682zbMath1454.81238arXiv2006.15860OpenAlexW3084419048MaRDI QIDQ5141031
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.15860
Singular perturbations in context of PDEs (35B25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse scattering problems in quantum theory (81U40) (S)-matrix theory, etc. in quantum theory (81U20) (2)-body potential quantum scattering theory (81U05) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
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