An inverse boundary value problem for the schrödinger operator with vector potentials in two dimensions

DOI10.1080/03605309308820922zbMath0781.35073OpenAlexW2071283523MaRDI QIDQ4203489

Ziqi Sun

Publication date: 5 September 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309308820922

zbMATH Keywords

inverse problemmagnetic fieldvector potentialelectric potentialDirichlet-to-Neumann mapglobal uniquenessinverse potential scatteringtwo-dimensional Schrödinger operatorlocal generic uniqueness

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) PDEs in connection with quantum mechanics (35Q40)

Related Items

Inverse Scattering Problem for the Schrödinger Operator with External Yang–Mills Potentials in Two Dimensions at Fixed Energy, The reflection principle and Calderón problems with partial data, Partial Cauchy data for general second order elliptic operators in two dimensions, An inverse boundary problem for the Schrödinger operator with magnetic field, Determination of second-order elliptic operators in two dimensions from partial Cauchy data, Identification of a connection from Cauchy data on a Riemann surface with boundary

Cites Work

• Generic uniqueness for an inverse boundary value problem
• Reconstructions from boundary measurements
• The inverse scattering problem on a fixed energy level for two- dimensional Schrödinger operator
• The null spaces of elliptic partial differential operators in R\(^n\)
• An anisotropic inverse boundary value problem
• A uniqueness theorem for an inverse boundary value problem in electrical prospection
• Generic Uniqueness for Two Inverse Problems in POtential Scattering