Exterior dirichlet problem for the reduced wave equation: asymptotic analysis of low frequencies
DOI10.1080/03605309108820756zbMath0732.35019OpenAlexW1980943858MaRDI QIDQ3359106
Karl-Josef Witsch, Norbert Weck
Publication date: 1991
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309108820756
Asymptotic behavior of solutions to PDEs (35B40) Maximum principles in context of PDEs (35B50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (3)
Cites Work
- Unnamed Item
- Randwertproblem der mathematischen Akustik
- Behavior of the solutions to exterior boundary value problems at low frequencies
- Zur Theorie der Schwingungsgleichung mit variablen Koeffizienten in Außengebieten
- On the limiting behaviour of solutions to boundary integral equations associated with time harmonic wave equations for small frequencies
- Zur Asymptotik der wellengleichung und der wärmeleitungsgleichung in zweidimensionalen außenräumen
- Low frequency asymptotics for the reduced wave equation in two‐dimensional exterior spaces
- The low frequency limit for time‐harmonic acoustic waves
- On the low wave number asymtotics for the two-dimensional exterior dirichlet problem for the reduced wave equation
- Low Frequency Scattering Theory for a Penetrable Body with an Impenetrable Core
- ON EXTERIOR ELLIPTIC PROBLEMS POLYNOMIALLY DEPENDING ON A SPECTRAL PARAMETER, AND THE ASYMPTOTIC BEHAVIOR FOR LARGE TIME OF SOLUTIONS OF NONSTATIONARY PROBLEMS
- Elliptic Partial Differential Equations of Second Order
- On the principles of limiting absorption and limit amplitude for a class of locally perturbed waveguides. Part 2: Time‐dependent theory
- Low frequency acoustic oscillations
- ON THE ANALYTICAL PROPERTIES OF THE RESOLVENT FOR A CERTAIN CLASS OF OPERATOR-PENCILS
- THE PRINCIPLE OF LIMIT AMPLITUDE
- The low frequency limit of the exterior Dirichlet problem for the reduced wave equation
This page was built for publication: Exterior dirichlet problem for the reduced wave equation: asymptotic analysis of low frequencies