Inverse Boundary Problems for Biharmonic Operators in Transversally Anisotropic Geometries
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Publication:5014293
DOI10.1137/21M1391419zbMath1479.35903arXiv2012.14273OpenAlexW3217517645MaRDI QIDQ5014293
Publication date: 1 December 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.14273
Inverse problems for PDEs (35R30) Integral geometry (53C65) Boundary value problems on manifolds (58J32) PDEs on manifolds (35R01)
Related Items (4)
Inverse boundary value problems for polyharmonic operators with non-smooth coefficients ⋮ Stability of inverse scattering problem for the damped biharmonic plate equation ⋮ Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds ⋮ Stable recovery of a metric tensor from the partial hyperbolic Dirichlet to Neumann map
Cites Work
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- Determining the first order perturbation of a polyharmonic operator on admissible manifolds
- The Calderón problem in transversally anisotropic geometries
- Calderón inverse problem with partial data on Riemann surfaces
- Determining a first order perturbation of the biharmonic operator by partial boundary measurements
- Determining the first order perturbation of a bi-harmonic operator on bounded and unbounded domains from partial data
- Completeness of products of solutions and some inverse problems for PDE
- Limiting Carleman weights and anisotropic inverse problems
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Carleman estimates and inverse problems for Dirac operators
- A special Green's function for the biharmonic operator and its application to an inverse boundary value problem
- Approximate eigenfunctions of the Laplacian
- Inverse problems for magnetic Schrödinger operators in transversally anisotropic geometries
- Inverting the local geodesic X-ray transform on tensors
- Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field
- Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds
- Recovery of time-dependent coefficients from boundary data for hyperbolic equations
- Determining rough first order perturbations of the polyharmonic operator
- Inverse boundary value problem of determining up to a second order tensor appear in the lower order perturbation of a polyharmonic operator
- Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential
- Determining a magnetic Schrödinger operator from partial Cauchy data
- The Calderón problem with partial data on manifolds and applications
- The inverse problem for the local geodesic ray transform
- The Calderón problem with partial data
- Determination of lower order perturbations of the polyharmonic operator from partial boundary data
- Inverse problems for the perturbed polyharmonic operator with coefficients in Sobolev spaces with non-positive order
- Inverse boundary value problems for the perturbed polyharmonic operator
- Lens rigidity for manifolds with hyperbolic trapped sets
- An Inverse Boundary Value Problem for Schrodinger Operators with Vector Potentials
- An inverse problem on determining upto first order perturbations of a fourth order operator with partial boundary data
- Determining anisotropic real-analytic conductivities by boundary measurements
- Sharp boundary estimates for elliptic operators
- Calderón problem for connections
- Inverse problems for advection diffusion equations in admissible geometries
- Determining an Unbounded Potential from Cauchy Data in Admissible Geometries
- Boundary and lens rigidity for non-convex manifolds
- Corrigendum: Inverse problems for the perturbed polyharmonic operator with coefficients in Sobolev spaces with non-positive order (2016 Inverse Problems 32 105009)
- Identifiability at the boundary for first-order terms
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