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

2017/12/04 by Alexander Adam Azzam, Azzam, Alexander Adam
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1712.01366

arxiv created 2017/12/04 · arxiv updated 2017/12/06

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.

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