Eigenfunction expansions and scattering theory for perturbations of - \(\Delta\)

DOI10.1016/0022-247X(71)90007-2zbMath0249.47004MaRDI QIDQ5921547

N. Shenk, D. W. Thoe

Publication date: 1971

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

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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Cites Work

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• Eigenfunction expansions associated with Schrödinger operators in \(R_ n, n\geq 4\)
• Outgoing solutions of \((-\Delta + q - k^ 2)u=f\) in an exterior domain
• Eigenfunction expansion associated with the operator-$\Delta$ in the exterior domain
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Eigenfunction Expansions Associated with the Laplacian for Certain Domains with Infinite Boundaries. III : To the memory of my father, Emil Goldstein

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