Existence, uniqueness and explicit bounds for acoustic scattering by an infinite Lipschitz boundary with an impedance condition
DOI10.5186/aasfm.2020.4540zbMath1447.78007OpenAlexW3035587979MaRDI QIDQ5118928
Publication date: 27 August 2020
Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5186/aasfm.2020.4540
Wave scattering in solid mechanics (74J20) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fredholm integral equations (45B05) Variational methods for second-order elliptic equations (35J20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scattering theory for diffraction gratings
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Finite element analysis of acoustic scattering
- Non-periodic acoustic and electromagnetic, scattering from periodic structures in 3D
- The Helmholtz equation with impedance in a half-plane
- A fast two-grid and finite section method for a class of integral equations on the real line with application to an acoustic scattering problem in the half-plane
- Variational approach to scattering by unbounded rough surfaces with Neumann and generalized impedance boundary conditions
- The Helmholtz equation with impedance in a half-space
- Numerical simulation methods for rough surface scattering
- Maxwell's equations in an unbounded structure
- Electromagnetic Scattering by Unbounded Rough Surfaces
- On radiation conditions for rough surface scattering problems
- Scattering from infinite rough tubular surfaces
- A well-posed integral equation formulation for three-dimensional rough surface scattering
- Wave-Number-Explicit Bounds in Time-Harmonic Scattering
- A variational method for wave scattering from penetrable rough layers
- A Uniqueness Result for Scattering by Infinite Rough Surfaces
- Some uniform stability and convergence results for integral equations on the real line and projection methods for their solution
- Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
- The Impedance Boundary Value Problem for the Helmholtz Equation in a Half-Plane
- An Inverse Problem in Periodic Diffractive Optics: Reconstruction of Lipschitz Grating Profiles
- Analysis of time‐domain elastic scattering by an unbounded structure
- Electromagnetic scattering from a cavity embedded in an impedance ground plane
- A boundary integral equation formulation for the Helmholtz equation in a locally perturbed half-plane
- A Direct Imaging Method for Inverse Scattering by Unbounded Rough Surfaces
- Time-Harmonic Acoustic Scattering from Locally Perturbed Half-Planes
- Scattering by infinite one-dimensional rough surfaces
- Scattering by Rough Surfaces: the Dirichlet Problem for the Helmholtz Equation in a Non-locally Perturbed Half-plane
- Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces
- Variational Approach in Weighted Sobolev Spaces to Scattering by Unbounded Rough Surfaces
- A high–wavenumber boundary–element method for an acoustic scattering problem
- Electromagnetic scattering for time-domain Maxwell’s equations in an unbounded structure
- A critical survey of approximate scattering wave theories from random rough surfaces
- Acoustic Scattering by Mildly Rough Unbounded Surfaces in Three Dimensions
- Existence, Uniqueness, and Variational Methods for Scattering by Unbounded Rough Surfaces
- A Wavenumber Independent Boundary Element Method for an Acoustic Scattering Problem
- The Helmholtz equation in a locally perturbed half-plane with passive boundary
This page was built for publication: Existence, uniqueness and explicit bounds for acoustic scattering by an infinite Lipschitz boundary with an impedance condition
