Resolvent Estimates for the 3D Schrödinger Operator with Inverse-Square Potential

Abstract

We consider the unitary group for the Schrödinger operator with inverse-square potential. We adapt Combes-Thomas estimates to show that, when restricted to non-radial functions, the operator enjoys much better estimates that mirror those of the Laplacian.

References in corpus (1)

• Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularities