Stable Determination of Polyhedral Interfaces from Boundary Data for the Helmholtz Equation
From MaRDI portal
Publication:3448235
DOI10.1080/03605302.2015.1007379zbMath1444.35162arXiv1408.1569OpenAlexW2076757627MaRDI QIDQ3448235
Maarten V. de Hoop, Elena Beretta, Sergio Vessella, Elisa Francini
Publication date: 23 October 2015
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.1569
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Green's functions for elliptic equations (35J08)
Related Items (13)
Lipschitz Stable Determination of Polyhedral Conductivity Inclusions from Local Boundary Measurements ⋮ Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming ⋮ Inverse problems on low-dimensional manifolds ⋮ Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements ⋮ Calderón's inverse problem with a finite number of measurements II: independent data ⋮ On Runge approximation and Lipschitz stability for a finite-dimensional Schrödinger inverse problem ⋮ Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT ⋮ Differentiability of the Dirichlet to Neumann Map Under Movements of Polygonal Inclusions with an Application to Shape Optimization ⋮ Stable determination of an anisotropic inclusion in the Schrödinger equation from local Cauchy data ⋮ A transmission problem on a polygonal partition: regularity and shape differentiability ⋮ Infinite-dimensional inverse problems with finite measurements ⋮ CALDERÓN’S INVERSE PROBLEM WITH A FINITE NUMBER OF MEASUREMENTS ⋮ Lipschitz Stable Determination of Polygonal Conductivity Inclusions in a Two-Dimensional Layered Medium from the Dirichlet-to-Neumann Map
Cites Work
- A global uniqueness theorem for an inverse boundary value problem
- A periodic Faddeev-type solution operator
- An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints
- Lipschitz stability for the inverse conductivity problem
- Exponential instability in an inverse problem for the Schrödinger equation
- Lipschitz Stability of an Inverse Boundary Value Problem for a Schrödinger-Type Equation
- Local analysis of inverse problems: Hölder stability and iterative reconstruction
- New global stability estimates for the Gel'fand–Calderon inverse problem
- Lipschitz Stability for the Electrical Impedance Tomography Problem: The Complex Case
- Stable determination of conductivity by boundary measurements
- An inverse problem for the Helmholtz equation
This page was built for publication: Stable Determination of Polyhedral Interfaces from Boundary Data for the Helmholtz Equation
