Uniqueness of radiative solutions to the Schrödinger wave equation

DOI10.1007/BF00252905zbMath0136.09201MaRDI QIDQ2521256

Yanyan Li

Publication date: 1960

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

partial differential equations

Related Items (9)

Existence and asymptotic behavior of standing waves of the nonlinear Helmholtz equation in the plane ⋮ Principles of Limiting Absorption and Limiting Amplitude in Scattering Theory. I. Schrödinger's Equation ⋮ Über das Dirichletsche Außenraumproblem für die Schwingungsgleichung ⋮ Kriterien für das Fehlen quadratisch integrierbarer Lösungen der Differentialgleichung \(-\Delta v = f(x,v)\) in Außengebieten ⋮ Ein Kriterium für das Fehlen von Eigenwerten elliptischer Differentialoperatoren ⋮ Spectral and scattering theory for Schrödinger operators ⋮ Randwertproblem der mathematischen Akustik ⋮ Remark on eigenfunctions of the operators $- \Delta + \left( {qx} \right)$ ⋮ Dual variational methods and nonvanishing for the nonlinear Helmholtz equation

Cites Work

• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• The reduced wave equation in a medium with a variable index of refraction
• The born expansion in non-relativistic quantum theory
• Growth properties of solutions of the reduced wave equation with a variable coefficient

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