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math.AP2019
Review of Yau's conjecture on zero sets of Laplace eigenfunctions
Alexander Logunov, Eugenia Malinnikova
This is a review of old and new results and methods related to the Yau conjecture on the zero set of Laplace eigenfunctions. The review accompanies two lectures given at the confer…
math.AP2019★ 2 cited
Lecture notes on quantitative unique continuation for solutions of second order elliptic equations
Alexander Logunov, Eugenia Malinnikova
In these lectures we present some useful techniques to study quantitative properties of solutions of elliptic PDEs. Our aim is to outline a proof of a recent result on propagation…