Completeness properties of scattering problem solutions

DOI10.1080/03605308208820217zbMath0505.35068OpenAlexW2041777708MaRDI QIDQ4740924

Daniel Eidus

Publication date: 1982

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308208820217

zbMATH Keywords

spherical harmonicsDirichlet and Neumann boundary value problemsSommerfeld radiation conditionscompleteness of solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Series solutions to PDEs (35C10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

Completeness of Averaged Scattering Solutions and Inverse Scattering at a Fixed Energy ⋮ Forward and inverse scattering on manifolds with asymptotically cylindrical ends

Cites Work

• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• Teoremi di completezza sulla frontiera di un dominio per taluni sistemi di funzioni
• A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations
• Growth properties of solutions of the reduced wave equation with a variable coefficient

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