The p–Laplace “Signature” for Quasilinear Inverse Problems with Large Boundary Data
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Publication:6145648
DOI10.1137/22m1529154arXiv2309.15206MaRDI QIDQ6145648
A. Tamburrino, Ravi Prakash, Luisa Faella, Gianpaolo Piscitelli, Antonio Corbo Esposito
Publication date: 9 January 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.15206
Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Quasilinear elliptic equations with (p)-Laplacian (35J92)
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Cites Work
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- Nonlinear total variation based noise removal algorithms
- A quasi-reversibility approach to solve the inverse obstacle problem
- Inverse acoustic and electromagnetic scattering theory.
- Structural optimization using sensitivity analysis and a level-set method.
- Superconductive and insulating inclusions for linear and non-linear conductivity equations
- On numerical solution of shape inverse problems
- Inverse boundary value problems for a class of semilinear elliptic equations
- The inhomogeneous Dirichlet problem in Lipschitz domains
- An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
- The \(p\)-Dirichlet-to-Neumann operator with applications to elliptic and parabolic problems
- On an inverse boundary value problem
- A stability result for the Steklov Laplacian eigenvalue problem with a spherical obstacle
- An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole
- Stability and Resolution Analysis for a Topological Derivative Based Imaging Functional
- Inverse problems for p-Laplace type equations under monotonicity assumptions
- Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
- A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
- Level set methods for geometric inverse problems in linear elasticity
- An Inverse Problem for the $p$-Laplacian: Boundary Determination
- Calderón problem for the $p$-Laplacian: First order derivative of conductivity on the boundary
- Multi-frequency identification of defects in conducting media
- Inverse acoustic scattering by small-obstacle expansion of a misfit function
- Regularization of Ill-Posed Problems Via the Level Set Approach
- Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
- How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms
- On the local minima problem in conductivity imaging via a quadratic approach
- On reconstruction in the inverse conductivity problem with one measurement
- On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
- A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets
- A First Course in Sobolev Spaces
- Monotonicity and Enclosure Methods for the $p$-Laplace Equation
- Inverse Problem Theory and Methods for Model Parameter Estimation
- A simple method for solving inverse scattering problems in the resonance region
- Computational Methods for Inverse Problems
- A new non-iterative inversion method for electrical resistance tomography
- Eddy-current evaluation of three-dimensional flaws in flat conductive materials using a Bayesian approach
- An Introduction to Partial Differential Equations
- Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition
- Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system
- Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term
- Enclosure method for the p -Laplace equation
- A noniterative reconstruction method for the inverse potential problem with partial boundary measurements
- Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions
- Nonlinear integral equations and the iterative solution for an inverse boundary value problem
- Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes
- Monotonicity Principle in tomography of nonlinear conducting materials *
- Direct methods in the calculus of variations
