English

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

Analysis of PDEs 2007-05-23 v4

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.

Keywords

Cite

@article{arxiv.math/0207152,
  title  = {Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential},
  author = {Nicolas Burq and Fabrice Planchon and John G. Stalker and A. Shadi Tahvildar-Zadeh},
  journal= {arXiv preprint arXiv:math/0207152},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T16:46:41.039Z