Monday Analysis Seminar (2018/11/26) A strong Liouville property of Schrödinger operators on Riemannian manifolds

2018-11-26 16:30 - 2018-11-26 18:00
Faculty of Science Building #3 Room 210
Atsushi Kasue (Kanazawa University)
We consider positive solutions of a stationary Schrödinger operator on a Riemannian manifold. The potential of the operator is said to be big if any positive solution is unbounded,and non-big otherwise.
In this talk, we introduce a Schrödinger operator with big potential whose positive solutions blow up at infinity so that the sublevel sets are compact.

Monday Analysis Seminar