Quantitative uniqueness for elliptic equations with singular lower order terms

Details Quantitative uniqueness for elliptic equations with singular lower order terms Quantitative uniqueness for elliptic equations with singular lower order terms

2010-02-04

arxiv.org/abs/1002.0994v2

Mathematics

Analysis of PDEs

23 pages, v2 small changes are done and some mistakes are corrected

Scientific paper

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.

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