Exterior boundary value problems as limits of interface problems

DOI10.1016/0022-247X(81)90163-3zbMath0482.35030OpenAlexW2057016263MaRDI QIDQ1162654

Alexander G. Ramm

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-247x(81)90163-3

zbMATH Keywords

Helmholtz equationSommerfeld radiation conditionexterior Neumann problemunique solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

The limiting behaviour of solutions of the acoustic transmission problems ⋮ Generalized impedance boundary conditions for the maxwell equations as singular perturbations problems

Cites Work

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• A simple proof of the uniqueness theorem in impedance tomography
• Decaying modes for the wave equation in the exterior of an obstacle

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