[iasmath-semru] Reminder for today's Analysis Seminar--4:30pm

[Kristina Phillips]

INSTITUTE FOR ADVANCED STUDY

School of Mathematics

Princeton, NJ 08540

 

Analysis Seminar

Friday, December 14

 

Topic:                    Two questions of Landis and their applications

Speaker:              Eugenia Malinnikova, NTNU; von Neumann Fellow, School
of Mathematics

Time/Room:       4:30pm - 5:30pm/Simonyi Hall 101

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=140130>
http://www.math.ias.edu/seminars/abstract?event=140130

 

We discuss two old questions of Landis concerning behavior of solutions of
second order elliptic equations. The first one is on propagation of
smallness for solutions from sets of positive measure, we answer this
question and as a corollary prove an estimate for eigenfunctions of Laplace
operator conjectured by Donnelly and Fefferman. The second question is on
the decay rate of solutions of the Schrödinger equation, we give the answer
in dimension two. The talk is based on joint work with A. Logunov, N.
Nadirashvili, and F. Nazarov.

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