Refined Strichartz inequalities for the wave equation

Abstract

Some analogues of the Schrödinger refined Strichartz inequalities (Du, Guth, Li and Zhang) are obtained for the wave equation. These are used to improve the best known $L^2$ fractal Strichartz inequalities for the wave equation in dimensions $d\ge 4$.

arXiv comment21 pages. Not intended for publication as this has been mostly superseded

References in corpus (9)

• A short proof of the multilinear Kakeya inequality
• Weighted restriction estimates and application to Falconer distance set problem
• Application of a Fourier restriction theorem to certain families of projections in R^3
• A cone restriction estimate using polynomial partitioning
• Weighted restriction estimates using polynomial partitioning
• Fractal Strichartz estimate for the wave equation
• Sharp $L^2$ estimate of Schrödinger maximal function in higher dimensions
• Pointwise convergence of Schrödinger solutions and multilinear refined Strichartz estimates
• Falconer's distance set problem via the wave equation

Cited by in corpus (1)

• Improved bounds for restricted projection families via weighted Fourier restriction