Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces
From MaRDI portal
Publication:1624166
DOI10.4171/JST/231zbMath1402.35194arXiv1605.03240WikidataQ129056162 ScholiaQ129056162MaRDI QIDQ1624166
Andrea Posilicano, Mourad Sini, Andrea Mantile
Publication date: 15 November 2018
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.03240
Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Second-order elliptic equations (35J15)
Related Items
Spectral shift functions and Dirichlet-to-Neumann maps ⋮ On the origin of Minnaert resonances ⋮ The semi-classical limit with a delta potential ⋮ Uniqueness in inverse acoustic scattering with unbounded gradient across Lipschitz surfaces ⋮ The semi-classical limit with a delta-prime potential ⋮ Scattering theory with both regular and singular perturbations ⋮ Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions ⋮ Scattering matrices and Weyl functions of quasi boundary triples ⋮ Spectral isoperimetric inequalities for singular interactions on open arcs ⋮ Inverse wave scattering in the Laplace domain: A factorization method approach ⋮ Scattering from local deformations of a semitransparent plane ⋮ Scattering of particles bounded to an infinite planar curve ⋮ Asymptotic completeness and S-matrix for singular perturbations ⋮ Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles ⋮ Mesoscale approximation of the electromagnetic fields ⋮ Inverse scattering for the Laplace operator with boundary conditions on Lipschitz surfaces ⋮ Unnamed Item ⋮ Inverse wave scattering in the time domain for point scatterers
Cites Work
- Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces
- Spectral estimates for resolvent differences of self-adjoint elliptic operators
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Schrödinger operators with singular interactions
- Low energy scattering with a penetrable wall interaction
- Spectral and scattering theory for the Schrödinger operators with penetrable wall potentials
- Spectral duality for planar billiards
- Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces
- Scattering matrices and Dirichlet-to-Neumann maps
- Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
- On the representation of the potential scattering operator in quantum mechanics
- Spectral and scattering theory for Schrödinger operators
- Generalized interactions supported on hypersurfaces
- Scattering matrices and Weyl functions
- Finite Rank Perturbations, Scattering Matrices and Inverse Problems
- The limiting absorption principle for partial differential operators
- On general boundary problems for elliptic differential equations
- A Krein-like formula for singular perturbations of self-adjoint operators and applications
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item