Resolvent Estimates for the 3D Schrödinger Operator with Inverse-Square Potential
arXiv:1712.01366
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 (4)
- Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
- Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularities
- The energy-critical NLS with inverse-square potential
- Remarks on endpoint Strichartz estimates for Schrödinger equations with the critical inverse-square potential