Calderón inverse problem with partial data on Riemann surfaces
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Publication:541158
DOI10.1215/00127094-1276310zbMath1222.35212arXiv0908.1417OpenAlexW2075222410MaRDI QIDQ541158
Publication date: 6 June 2011
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.1417
Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) Boundary value problems on manifolds (58J32) PDEs on manifolds (35R01)
Related Items (39)
Linearized Calderón problem and exponentially accurate quasimodes for analytic manifolds ⋮ Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces ⋮ Stability of inverse problems in an infinite slab with partial data ⋮ Inverse boundary problems for systems in two dimensions ⋮ The Calderón problem in transversally anisotropic geometries ⋮ The reflection principle and Calderón problems with partial data ⋮ Stability for a magnetic Schrödinger operator on a Riemann surface with boundary ⋮ Inverse problems for elliptic equations with fractional power type nonlinearities ⋮ Uniqueness for inverse boundary value problems by Dirichlet-to-Neumann map on subboundaries ⋮ Unique recovery of lower order coefficients for hyperbolic equations from data on disjoint sets ⋮ Partial Cauchy data for general second order elliptic operators in two dimensions ⋮ Non-uniqueness results for the anisotropic Calderón problem with data measured on disjoint sets ⋮ The anisotropic Calderón problem for singular metrics of warped product type: the borderline between uniqueness and invisibility ⋮ An inverse problem for the Riemannian minimal surface equation ⋮ Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds ⋮ Limiting Carleman weights and conformally transversally anisotropic manifolds ⋮ The Calderón problem for variable coefficients nonlocal elliptic operators ⋮ Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds ⋮ Stability estimates for the Radon transform with restricted data and applications ⋮ Inverse problem for the wave equation with a white noise source ⋮ Inverse problem for the Riemannian wave equation with Dirichlet data and Neumann data on disjoint sets ⋮ Inverse problems for elliptic equations with power type nonlinearities ⋮ On the hidden mechanism behind non-uniqueness for the anisotropic Calderón problem with data on disjoint sets ⋮ Determining a first order perturbation of the biharmonic operator by partial boundary measurements ⋮ SEMILINEAR CALDERÓN PROBLEM ON STEIN MANIFOLDS WITH KÄHLER METRIC ⋮ The Calderón inverse problem for isotropic quasilinear conductivities ⋮ Partial data for the Neumann-to-Dirichlet map ⋮ Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds ⋮ Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces ⋮ Inverse problems: seeing the unseen ⋮ Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations ⋮ ON NONUNIQUENESS FOR THE ANISOTROPIC CALDERÓN PROBLEM WITH PARTIAL DATA ⋮ The linearized Calderón problem on complex manifolds ⋮ Comments on the determination of the conductivity by boundary measurements ⋮ Inverse boundary value problems for the perturbed polyharmonic operator ⋮ Inverse problems for nonlinear hyperbolic equations with disjoint sources and receivers ⋮ Inverse Boundary Problems for Biharmonic Operators in Transversally Anisotropic Geometries ⋮ 30 years of Calderón's problem ⋮ The Neumann-to-Dirichlet map in two dimensions
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