Full low-frequency asymptotics for the reduced wave equation
✍ Scribed by H. Ammari; J.-C. Nédélec
- Book ID
- 104350154
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 262 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
A new and simple procedure for determining the full low-frequency expansions of solutions of the exterior Dirichlet and Neumann boundary value problem for the Helmholtz equation with variable coefficients in two-and three-dimensional exterior domains is presented.
📜 SIMILAR VOLUMES
## Abstract The present paper contains the low‐frequency expansions of solutions of a large class of exterior boundary value problems involving second‐order elliptic equations in two dimensions. The differential equations must coincide with the Helmholtz equation in a neighbourhood of infinity, how
## Abstract Let Ω denote an unbounded domain in ℝ^__n__^ having the form Ω=ℝ^__l__^×__D__ with bounded cross‐section __D__⊂ℝ^__n__−__l__^, and let __m__∈ℕ be fixed. This article considers solutions __u__ to the scalar wave equation ∂__u__(__t__,__x__) +(−Δ)^__m__^__u__(__t__,__x__) = __f__(__x__)e^