English

Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term

Analysis of PDEs 2021-02-03 v1

Abstract

This paper considers the inverse boundary value problem for the equation (σu+aup2u)=0\nabla\cdot(\sigma\nabla u+a|\nabla u|^{p-2}\nabla u)=0. We give a procedure for the recovery of the coefficients σ\sigma and aa from the corresponding Dirichlet-to-Neumann map, under suitable regularity and ellipticity assumptions.

Keywords

Cite

@article{arxiv.2001.01436,
  title  = {Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term},
  author = {Cătălin I. Cârstea and Manas Kar},
  journal= {arXiv preprint arXiv:2001.01436},
  year   = {2021}
}