Semiclassical Pseudodifferential Calculus and the Reconstruction of a Magnetic Field
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Publication:3424259
DOI10.1080/03605300500530420zbMath1119.35119arXivmath/0602290OpenAlexW2126513040MaRDI QIDQ3424259
Publication date: 15 February 2007
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0602290
Pseudodifferential operators as generalizations of partial differential operators (35S05) Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30)
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Cites Work
- Unnamed Item
- A global uniqueness theorem for an inverse boundary value problem
- Reconstructions from boundary measurements
- Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations
- Absolute continuity of the periodic magnetic Schrödinger operator
- Global uniqueness for an inverse boundary problem arising in elasticity
- Elliptic partial differential equations of second order
- Finite energy solutions of Maxwell's equations and constructive Hodge decompositions on nonsmooth Riemannian manifolds
- Hodge decomposition. A method for solving boundary value problems
- Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy
- Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field
- An Inverse Boundary Value Problem for Schrodinger Operators with Vector Potentials
- Exponentially Growing Solutions for Nonsmooth First-Order Perturbations of the Laplacian
- An inverse problem for the magnetic Schr dinger equation and quasi-exponential solutions of nonsmooth partial differential equations
- Inverse scattering problem in nuclear physics—Optical model
- Global Uniqueness in the Impedance-Imaging Problem for Less Regular Conductivities