Enforcing Local Non-Zero Constraints in PDEs and Applications to Hybrid Imaging Problems

DOI10.1080/03605302.2015.1050733zbMath1333.35029arXiv1406.3248OpenAlexW3105757043MaRDI QIDQ3467554

Giovanni S. Alberti

Publication date: 3 February 2016

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

Full work available at URL: https://arxiv.org/abs/1406.3248

zbMATH Keywords

boundary controlMaxwell's equationsHelmholtz equationmultiple frequenciescoupled-physics inverse problemshybrid imagingnon-zero constraints

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Maxwell equations (35Q61)

Related Items (max. 100)

Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems ⋮ Absence of critical points of solutions to the Helmholtz equation in 3D ⋮ Critical points for elliptic equations with prescribed boundary conditions ⋮ The Calderón problem for the fractional Schrödinger equation with drift ⋮ Stabilizing inverse problems by internal data. II: Non-local internal data and generic linearized uniqueness ⋮ Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging ⋮ Admittivity imaging from multi-frequency micro-electrical impedance tomography ⋮ On multiple frequency power density measurements II. The full Maxwell's equations

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