On the asymptotics of solutions for some Schrödinger equations with dissipative perturbations of rank one

DOI10.32917/hmj/1150998510zbMath1078.35099OpenAlexW2112271494MaRDI QIDQ1775306

Mitsuteru Kadowaki, Hideo Nakazawa, Kazuo Watanabe

Publication date: 6 May 2005

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1150998510

zbMATH Keywords

spectrumlarge time asymptoticswave operatorsgeneralized Fourier transformsdissipative perturbationSchrödinger operator on the linespectral and scattering theories

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) (2)-body potential quantum scattering theory (81U05)

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Exponential decay and spectral structure for wave equation with some dissipations ⋮ Non-uniqueness for second order elliptic operators

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