Quantitative uniqueness for elliptic equations with singular lower order terms
Analysis of PDEs
2012-09-20 v2
Abstract
We use a Carleman type inequality of Koch and Tataru to obtain quantitative estimates of unique continuation for solutions of second order elliptic equations with singular lower order terms. First we prove a three sphere inequality and then describe two methods of propagation of smallness from sets of positive measure.
Cite
@article{arxiv.1002.0994,
title = {Quantitative uniqueness for elliptic equations with singular lower order terms},
author = {E. Malinnikova and S. Vessella},
journal= {arXiv preprint arXiv:1002.0994},
year = {2012}
}
Comments
23 pages, v2 small changes are done and some mistakes are corrected