On the uniqueness of inverse problems for the reduced wave equation with unknown embedded obstacles

DOI10.1088/1361-6420/ac3711zbMath1479.35959OpenAlexW3214337622MaRDI QIDQ5014480

Publication date: 8 December 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/ac3711

zbMATH Keywords

reduced wave equation Dirichlet-to-Neumann map partial data embedded obstacle

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30)

Cites Work

A global uniqueness theorem for an inverse boundary value problem
On uniqueness in the general inverse transmisson problem
On uniqueness in the inverse conductivity problem with local data
Complex geometrical optics solutions for Lipschitz conductivities.
On recovery of an inhomogeneous cavity in inverse acoustic scattering
Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstacles with embedded objects
Uniqueness in the inverse conductivity problem for conductivities with \(3/2\) derivatives in \(L^p\), \(p>2n\)
Global uniqueness for a two-dimensional inverse boundary value problem
Uniqueness in Calderón's problem with Lipschitz conductivities
Calderón's inverse conductivity problem in the plane
Lipschitz stability for the inverse conductivity problem
The Calderón problem with partial data
The Existence of an Infinite Discrete Set of Transmission Eigenvalues
On uniqueness in th invese transmission scattering problem
On An Elliptic Equation Arising from Photo-Acoustic Imaging in Inhomogeneous Media
The Calderón problem with partial data in two dimensions
Determining conductivity by boundary measurements
Determining conductivity by boundary measurements II. Interior results
On uniqueness of recovery of a discontinuous conductivity coefficient
On the Uniqueness of Inverse Problems from Incomplete Boundary Data
RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA
Global Uniqueness in the Impedance-Imaging Problem for Less Regular Conductivities
Recovering a potential from Cauchy data in the two-dimensional case

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