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

Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi

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

Authors

Burq, Nicolas

Planchon, Fabrice

Stalker, John G.

Tahvildar-Zadeh, A. Shadi

Description

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