Behavior of the solutions to exterior boundary value problems at low frequencies

DOI10.1016/0022-247X(86)90240-4zbMath0603.35026OpenAlexW2060790239MaRDI QIDQ1082527

Alexander G. Ramm

Publication date: 1986

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(86)90240-4

zbMATH Keywords

exterior boundary value problemslow frequency behavior

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (7)

Multidimensional inverse problems and completeness of the products of solutions to PDE ⋮ Exact low frequency analysis for a class of exterior boundary value problems for the reduced wave equation in two dimensions ⋮ The low frequency limit of the exterior Dirichlet problem for the reduced wave equation ⋮ Exterior dirichlet problem for the reduced wave equation: asymptotic analysis of low frequencies ⋮ A uniqueness theorem for an inverse problem ⋮ Positive radial symmetric solutions to an exterior elliptic Robin boundary-value problem and application ⋮ Unnamed Item

Cites Work

• Randwertproblem der mathematischen Akustik
• On the limiting behaviour of solutions to boundary integral equations associated with time harmonic wave equations for small frequencies
• Low frequency asymptotics for the reduced wave equation in two‐dimensional exterior spaces
• Über das Verhalten elekromagnetischer Felder für kleine Frequenzen in mehrfach zusammenhängenden Gebieten. II.
• Low frequency acoustic oscillations
• THE PRINCIPLE OF LIMIT AMPLITUDE
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