An inverse boundary value problem for the p -Laplacian: a linearization approach
From MaRDI portal
Publication:4625199
DOI10.1088/1361-6420/aaf2dfzbMath1483.35340arXiv1803.10591OpenAlexW2901684239MaRDI QIDQ4625199
Lauri Mustonen, Antti Hannukainen, Nuutti Hyvönen
Publication date: 22 February 2019
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.10591
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
Inverse problems for a class of elliptic obstacle problems involving multivalued convection term and weighted $(p,q)$-Laplacian, Inverse Transport and Diffusion Problems in Photoacoustic Imaging with Nonlinear Absorption, Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth, The fractional \(p\)-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems, Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term, Recovering a variable exponent, Variable exponent Calderón's problem in one dimension
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications
- Generalized linearization techniques in electrical impedance tomography
- Neumann problem for \(p\)-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity
- Regularity of \(p\)-harmonic functions on the plane
- Reconstruction of the support function for inclusion from boundary measurements
- Inverse problems for p-Laplace type equations under monotonicity assumptions
- An Inverse Problem for the $p$-Laplacian: Boundary Determination
- Newton regularizations for impedance tomography: a numerical study
- Calderón problem for the $p$-Laplacian: First order derivative of conductivity on the boundary
- Boundary regularity for solutions of degenerate parabolic equations
- Newton regularizations for impedance tomography: convergence by local injectivity
- Linear Convergence of an Adaptive Finite Element Method for the p-Laplacian Equation
- Electrical impedance tomography and Calderón's problem
- p-Harmonic Functions in the Plane
- The local regularity of solutions of degenerate elliptic equations
- Isolated Singularities of p-Harmonic Functions in the Plane
- Weighted Sobolev spaces
- Optical tomography in medical imaging
- Electrical Impedance Tomography
- Finite Element Approximation of the p-Laplacian
- A Posteriori Finite Element Error Control for the P-Laplace Problem
- Monotonicity and Enclosure Methods for the $p$-Laplace Equation
- Electrical impedance tomography
- Complete Electrode Model of Electrical Impedance Tomography: Approximation Properties and Characterization of Inclusions
- Enclosure method for the p -Laplace equation
- Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography
