Outgoing solutions of \((-\Delta + q - k^ 2)u=f\) in an exterior domain

DOI10.1016/0022-247X(70)90121-6zbMath0201.13202MaRDI QIDQ2540769

N. Shenk, D. W. Thoe

Publication date: 1970

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Related Items (15)

Théorie spectrale de la progagation des ondes acoustiques dans un milieu stratifié perturbé. (Spectral analysis of the propagation of acoustic waves in a perturbed stratified medium) ⋮ Existence of outgoing solutions for perturbations of and applications to the scattering matrix ⋮ On the Cauchy Problem for the Coupled Maxwell-Dirac Equations ⋮ Scattering theory for elliptic differential operators in unbounded domains. I ⋮ Stability of the enhanced area law of the entanglement entropy ⋮ A pole-free strip for potential scattering ⋮ Asymptotic behavior of equations arising in quantum field theory^†‡ ⋮ Outgoing solutions for perturbations of -\(\Delta\) with applications to spectral and scattering theory ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Eigenfunction expansions and scattering theory for perturbations of - \(\Delta\) ⋮ Resonant states and poles of the scattering matrix for perturbations of - \(\Delta\) ⋮ Approximation of the scattering state by means of the radiation boundary condition ⋮ Scattering theory for elliptic differential operators in unbounded domains. II ⋮ Sur les fréquences de diffusion (scattering) d'un corps élastique couplé avec l'air

Cites Work

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• Spherical means and radiation conditions
• Ausstrahlungsbedingungen für die Wellengleichung
• Randwertproblem der mathematischen Akustik
• Beugungsprobleme der mathematischen Akustik
• Eigenfunction expansions and scattering theory for the wave equation in an exterior region
• The analytic continuation of the resolvent kernel and scattering operator associated with the Schrödinger operator
• Scattering for the Schrödinger operator in an exterior domain
• Eigenfunction expansions associated with Schrödinger operators in \(R_ n, n\geq 4\)
• Meromorphic families of compact operators
• Resonant states and poles of the scattering matrix for perturbations of - \(\Delta\)
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• Über die 1., 2. und 3. äußere Randwertaufgabe der Schwingungsgleichung ΔF + K²F = 0
• Sur l'analyticité de la fonction spectrale de l'opérateur $\Delta$ relatif au problème extérieur
• Eigenfunction expansions and scattering theory for perturbations of - \(\Delta\)

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