Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications
Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications
Abstract We show that for a Schrödinger operator with bounded potential on a manifold with cylindrical ends, the space of solutions that grows at most exponentially at infinity is finite dimensional and, for a dense set of potentials (or, equivalently, for a surface for a fixed potential and a dense …