Browsing NTNU Open by Author "Logunov, Alexander"
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A DISCRETE HARMONIC FUNCTION BOUNDED ON A LARGE PORTION OF Z<sup>2</sup> IS CONSTANT
Buhovsky, Lev; Logunov, Alexander; Malinnikova, Eugenia; Sodin, Mikhail (Peer reviewed; Journal article, 2022) -
Lecture notes on quantitative unique continuation for solutions of second order elliptic equations
Malinnikova, Eugenia; Logunov, Alexander (Chapter, 2020)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 ... -
The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions
Logunov, Alexander; Malinnikova, Eugenia; Nadirashvili, N.; Nazarov, F. (Peer reviewed; Journal article, 2021)