Lecture notes on quantitative unique continuation for solutions of second order elliptic equations
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2020Metadata
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Abstract
In these lectures we present some useful techniques to study quantitative properties of solutions of elliptic PDEs. Our aim is to outline the proof
of a recent result on propagation of smallness. The ideas are also useful in the
study of the zero sets of eigenfunctions of the Laplace–Beltrami operator. Some
basic facts about second order elliptic PDEs in divergent form are collected in the
Appendix at the end of the notes