Non-scattering energies and transmission eigenvalues in H^n
From MaRDI portal
Publication:5107650
DOI10.5186/aasfm.2020.4522zbMath1446.35087arXiv1809.04426OpenAlexW3000963892MaRDI QIDQ5107650
Esa V. Vesalainen, Emilia Blåsten
Publication date: 28 April 2020
Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.04426
Hyperbolic and elliptic geometries (general) and generalizations (51M10) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Elliptic equations on manifolds, general theory (58J05)
Related Items
Cones with convoluted geometry that always scatter or radiate ⋮ Free boundary methods and non-scattering phenomena ⋮ On an electromagnetic problem in a corner and its applications ⋮ On corner scattering for operators of divergence form and applications to inverse scattering ⋮ A new type of CGO solutions and its applications in corner scattering
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A global uniqueness theorem for an inverse boundary value problem
- Corners always scatter
- The interior transmission problem
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
- Strictly convex corners scatter
- Acoustic scattering from corners, edges and circular cones
- Perturbation theory for linear operators.
- The analysis of linear partial differential operators. II: Differential operators with constant coefficients
- Introduction to spectral theory and inverse problem on asymptotically hyperbolic manifolds
- On vanishing near corners of transmission eigenfunctions
- On \(T\)-coercive interior transmission eigenvalue problems on compact manifolds with smooth boundary
- The Existence of an Infinite Discrete Set of Transmission Eigenvalues
- On the use of transmission eigenvalues to estimate the index of refraction from far field data
- Shape Identification in Inverse Medium Scattering Problems with a Single Far-Field Pattern
- Transmission Eigenvalues
- THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM
- The Denseness of the Far Field Patterns for the Transmission Problem
- Unique continuation theorems for solutions of partial differential equations
- Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
- Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory
- Reconstruction of a Spherically Symmetric Speed of Sound
- On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study
- On Electromagnetic Scattering from a Penetrable Corner
- A simple method for solving inverse scattering problems in the resonance region
- Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium
- Recovering piecewise constant refractive indices by a single far-field pattern
- Corners and edges always scatter
- Transmission eigenvalues
- Transmission eigenvalues for a class of non-compactly supported potentials
- Inverse acoustic and electromagnetic scattering theory
- Removable singularities of solutions of elliptic equations
This page was built for publication: Non-scattering energies and transmission eigenvalues in H^n
