The stability for the Cauchy problem for elliptic equations
Analysis of PDEs
2013-06-24 v1
Abstract
We discuss the ill-posed Cauchy problem for elliptic equations, which is pervasive in inverse boundary value problems modeled by elliptic equations. We provide essentially optimal stability results, in wide generality and under substantially minimal assumptions. As a general scheme in our arguments, we show that all such stability results can be derived by the use of a single building brick, the three-spheres inequality.
Cite
@article{arxiv.0907.2882,
title = {The stability for the Cauchy problem for elliptic equations},
author = {Giovanni Alessandrini and Luca Rondi and Edi Rosset and Sergio Vessella},
journal= {arXiv preprint arXiv:0907.2882},
year = {2013}
}
Comments
57 pages, review article