Solvability of interior transmission problem for the diffusion equation by constructing its Green function
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Publication:2010470
DOI10.1515/jiip-2018-0027zbMath1425.35236arXiv1706.04745OpenAlexW2950712732MaRDI QIDQ2010470
Publication date: 27 November 2019
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.04745
Related Items (3)
Numerical solutions of the forward and inverse problems arising in diffuse optical tomography ⋮ Normalized solutions for an horizontal transmission problem ⋮ Born series for the photon diffusion equation perturbing the Robin boundary condition
Cites Work
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- The Green function of the interior transmission problem and its applications
- Numerical solution of an inverse boundary value problem for the heat equation with unknown inclusions
- The interior transmission problem
- On the existence of transmission eigenvalues
- On general boundary value problem for parabolic equations
- An asymptotic expansion for the heat equation
- Inverse Scattering Theory and Transmission Eigenvalues
- Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators
- Ellipticity in the Interior Transmission Problem in Anisotropic Media
- Finite Element Methods for Maxwell's Transmission Eigenvalues
- Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues
- The Interior Transmission Problem for Regions with Cavities
- The Existence of an Infinite Discrete Set of Transmission Eigenvalues
- Reconstruction of an unknown inclusion by thermography
- The Electromagnetic Interior Transmission Problem for Regions with Cavities
- Transmission Eigenvalues for Elliptic Operators
- Iterative Methods for Transmission Eigenvalues
- The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media
- Reconstruction of an unknown cavity with Robin boundary condition inside a heat conductor
- Transmission Eigenvalues
- The Denseness of the Far Field Patterns for the Transmission Problem
- On isotropic cloaking and interior transmission eigenvalue problems
- Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking
- The Interior Transmission Eigenvalue Problem
- Transmission Eigenvalues for Operators with Constant Coefficients
- Inside-Outside Duality and the Determination of Electromagnetic Interior Transmission Eigenvalues
- Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method
- Transmission eigenvalues in one dimension
- Linear sampling method for the heat equation with inclusions
- The Interior Transmission Problem: Spectral Theory
- The Resolvent of an Elliptic Boundary Problem
- Discreteness of Transmission Eigenvalues for Higher-Order Main Terms and Perturbations
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