Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential

Abstract

We prove spacetime weighted-L^2 estimates for the Schrodinger and wave equation with an inverse-square potential. We then deduce Strichartz estimates for these equations.

30 pages v2: added references v3: corrected remark on dispersion (remark 1 section 3.1) v4: final version, to appear in JFA

References in corpus (2)

• Quantum Anomaly in Molecular Physics
• Time decay for solutions of Schrödinger equations with rough and time dependent potentials

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