The linearized Calderón problem for polyharmonic operators
From MaRDI portal
Publication:2698323
DOI10.1016/j.jde.2023.03.017OpenAlexW4327694357MaRDI QIDQ2698323
Publication date: 21 April 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.05803
Calderón problemtensor tomographyperturbed polyharmonic operatoranisotropic perturbationmomentum ray transform
Boundary value problems for higher-order elliptic equations (35J40) Inverse problems for PDEs (35R30) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)
Cites Work
- Unnamed Item
- Unnamed Item
- Local analytic regularity in the linearized Calderón problem
- Determining a first order perturbation of the biharmonic operator by partial boundary measurements
- On the linearized local Calderón problem
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Partial differential equations. I: Basic theory
- Carleman estimates and inverse problems for Dirac operators
- Integral geometry for tensor fields. Transl. from the Russian
- Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations
- Linearized Calderón problem and exponentially accurate quasimodes for analytic manifolds
- The linearized Calderón problem on complex manifolds
- 30 years of Calderón's problem
- Inversion of weighted divergent beam and cone transforms
- Inverse boundary value problem of determining up to a second order tensor appear in the lower order perturbation of a polyharmonic operator
- Determining a magnetic Schrödinger operator from partial Cauchy data
- The Calderón problem with partial data
- Determination of lower order perturbations of the polyharmonic operator from partial boundary data
- Inverse boundary value problems for the perturbed polyharmonic operator
- On conformal Killing symmetric tensor fields on Riemannian manifolds
- Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$
- An inverse problem on determining upto first order perturbations of a fourth order operator with partial boundary data
- Recent progress in the Calderon problem with partial data
- Electrical impedance tomography and Calderón's problem
- RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA
- On instability mechanisms for inverse problems
- Geometric Inverse Problems
- A remark on partial data inverse problems for semilinear elliptic equations
This page was built for publication: The linearized Calderón problem for polyharmonic operators