Håkan Hedenmalm: Heisenberg uniqueness pairs and the Klein-Gordon equation
Håkan Hedenmalm, KTH
Time: Wed 2009-11-11 13.15 - 14.15
Location: Room 3721, department of mathematics, KTH, Lindstedtsvägen 25, 7th floor
Contact:
Håkan Hedenmalm
08-790 7832
Subject area: Analysis and dynamical systems
It is well-known that for solutions of elliptic PDE we have smoothness, which in case of real analyticity leads to local restrictions on the zero set. Here we discuss the non-elliptic case of the Klein-Gordon equation in one spatial dimension, and obtain surprisingly that a lattice-cross is a uniqueness set under some additional conditions.