Inverse boundary problems for systems in two dimensions

DOI10.1007/s00023-012-0229-1zbMath1310.81052arXiv1105.4565OpenAlexW2108657250MaRDI QIDQ2391843

Gunther Uhlmann, Leo Tzou, Pierre Albin, Colin Guillarmou

Publication date: 5 August 2013

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4565

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (13)

Recovery of a Time-Dependent Hermitian Connection and Potential Appearing in the Dynamic Schrödinger Equation ⋮ The reflection principle and Calderón problems with partial data ⋮ Stability for a magnetic Schrödinger operator on a Riemann surface with boundary ⋮ Inverse scattering for the magnetic Schrödinger operator on surfaces with Euclidean ends ⋮ An inverse problem for fractional connection Laplacians ⋮ Inverse scattering for Dirac operators on surfaces with Euclidean ends ⋮ Calderón problem for connections ⋮ Towards bulk metric reconstruction from extremal area variations ⋮ More of the bulk from extremal area variations ⋮ Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane ⋮ Inverse problems: seeing the unseen ⋮ 30 years of Calderón's problem ⋮ The Neumann-to-Dirichlet map in two dimensions

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