Calderón problem for the $p$-Laplacian: First order derivative of conductivity on the boundary
From MaRDI portal
Publication:3450178
DOI10.1090/proc/12681zbMath1339.35342arXiv1403.0428OpenAlexW1506157592WikidataQ109745453 ScholiaQ109745453MaRDI QIDQ3450178
Publication date: 3 November 2015
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.0428
Related Items
An Inverse Problem for the Porous Medium Equation with Partial Data and a Possibly Singular Absorption Term ⋮ Inverse Transport and Diffusion Problems in Photoacoustic Imaging with Nonlinear Absorption ⋮ Superconductive and insulating inclusions for linear and non-linear conductivity equations ⋮ The p–Laplace “Signature” for Quasilinear Inverse Problems with Large Boundary Data ⋮ Imaging of nonlinear materials via the Monotonicity Principle ⋮ The fractional \(p\)-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems ⋮ Monotonicity and Enclosure Methods for the $p$-Laplace Equation ⋮ Nonlinear elliptic-parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent ⋮ An inverse boundary value problem for the p -Laplacian: a linearization approach ⋮ Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term ⋮ Size estimates for the weighted \(p\)-Laplace equation with one measurement ⋮ Recovering a variable exponent ⋮ Variable exponent Calderón's problem in one dimension ⋮ The Dirichlet-to-Neumann operator associated with the 1-Laplacian and evolution problems ⋮ Monotonicity Principle in tomography of nonlinear conducting materials *
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cauchy problem for ultrasound-modulated EIT
- Reconstructing conductivities with boundary corrected D-bar method
- \(n\)-harmonic coordinates and the regularity of conformal mappings
- Measure density and extendability of Sobolev functions
- Singular solutions of elliptic equations and the determination of conductivity by boundary measurements
- Regularity of \(p\)-harmonic functions on the plane
- Fast/slow diffusion and growing sandpiles
- Global uniqueness for a two-dimensional inverse boundary value problem
- Uniqueness in Calderón's problem with Lipschitz conductivities
- Gap series constructions for the \(p\)-Laplacian
- Linear and quasilinear elliptic equations
- Numerical recovery of conductivity at the boundary from the localized Dirichlet to Neumann map
- Darstellung der Eigenwerte von \(\Delta u+\lambda u=0\) durch ein Randintegral
- Recovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwise result
- Current Density Impedance Imaging of an Anisotropic Conductivity in a Known Conformal Class
- An Inverse Problem for the $p$-Laplacian: Boundary Determination
- Electrical Impedance Tomography by Elastic Deformation
- Recovering the conductivity from a single measurement of interior data
- Impedance-Acoustic Tomography
- The Local Calderòn Problem and the Determination at the Boundary of the Conductivity
- Electrical impedance tomography and Calderón's problem
- Determining conductivity by boundary measurements
- Inverse boundary value problems at the boundary—continuous dependence
- Boundary regularity for solutions of degenerate elliptic equations
- Elliptic Partial Differential Equations of Second Order
- Boundary Determination of Conductivities and Riemannian Metrics via Local Dirichlet-to-Neumann Operator
- On p-harmonic functions, convex duality and an asymptotic formula for injection mould filling
- On a Nonlinear Partial Differential Equation Arising in Magnetic Resonance Electrical Impedance Tomography
- Electrical impedance tomography
- Enclosure method for the p -Laplace equation
- On Hele–Shaw flow of power-law fluids