Introduction to spectral theory and inverse problem on asymptotically hyperbolic manifolds

DOI10.2969/msjmemoirs/032010000zbMath1432.58001arXiv1102.5382OpenAlexW1577671055MaRDI QIDQ2252045

Hiroshi Isozaki, Yaroslav Kurylev

Publication date: 16 July 2014

Published in: MSJ Memoirs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.5382

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Second-order hyperbolic equations (35L10) Scattering theory of linear operators (47A40) PDEs on manifolds (35R01)

Related Items (13)

Local inverse scattering at fixed energy in spherically symmetric asymptotically hyperbolic manifolds ⋮ Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces ⋮ Non-scattering energies and transmission eigenvalues in H^n ⋮ Asymptotic behavior of stationary solutions to elastic wave equations in a perturbed half‐space in ℝ³ ⋮ Inverse problems, trace formulae for discrete Schrödinger operators ⋮ Inverse scattering with disjoint source and observation sets on asymptotically hyperbolic manifolds ⋮ The scattering operator on asymptotically hyperbolic manifolds ⋮ Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces ⋮ Spectral properties of Schrödinger operators on perturbed lattices ⋮ Non-scattering energies for acoustic-type equations on manifolds with a single flat end ⋮ Inverse problems with partial data for elliptic operators on unbounded Lipschitz domains ⋮ The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds ⋮ Inverse problems for nonlinear hyperbolic equations with disjoint sources and receivers

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