The analysis seminar offers a venue for research, tutorial and expository talks in the area of analysis.
See below for upcoming seminars or access the seminar archive.
Organizers
Elaine Cozzi and David Finch.
Timing
Mondays at noon
Landis' conjecture in the plane
Kidder 237
Speaker: Blair Davey
In the late 1960s, E.M. Landis made the following conjecture: If u and V are bounded functions, and u is a solution to the Schr\"odinger equation in Euclidean space that decays faster than exponential, then u must be identically zero. In 1992, V. Z. Meshkov disproved this conjecture by constructing bounded, complex-valued functions u and V that solve the Schr\"odinger equation in the plane and satisfy |u(x)| \le c \exp(- C |x|^{4/3}). The examples of Meshkov were accompanied by qualitative… Read more.