Reconstruction of a source domain from the Cauchy data: II. Three-dimensional case
From MaRDI portal
Publication:5860804
DOI10.1088/1361-6420/ac2fb9zbMath1478.35238arXiv2107.05232OpenAlexW3205343716MaRDI QIDQ5860804
Publication date: 23 November 2021
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.05232
Helmholtz equationenclosure methodinverse source probleminverse obstacle problemexponentially growing solutionscircular cone singularity
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items
Reconstruction of Multiscale Elastic Sources from Multifrequency Sparse Far Field Patterns ⋮ Uniqueness and numerical scheme for spherical shell-structured sources from the far field patterns with at most two frequencies
Cites Work
- Unnamed Item
- Unnamed Item
- A global uniqueness theorem for an inverse boundary value problem
- Reconstruction of the support function for inclusion from boundary measurements
- Exponentially growing solutions and the cauchy problem
- Inverse obstacle scattering problems with a single incident wave and the logarithmic differential of the indicator function in the enclosure method
- An inverse source problem for the heat equation and the enclosure method
- Two analytical formulae of the temperature inside a body by using partial lateral and initial data
- A uniqueness theorem for an inverse boundary value problem in electrical prospection
- Reconstruction of a source domain from the Cauchy data
- Numerical Solution of the Cauchy Problem for the Stationary Schrödinger Equation Using Faddeev's Green Function
- Inverse acoustic and electromagnetic scattering theory