Fractal Strichartz estimate for the wave equation

Abstract

We consider Strichartz estimates for the wave equation with respect to general measures which satisfy certain growth condition. In ${\mathbb{R}}^{3+1}$ we obtain the sharp estimate and in higher dimensions improve the previous results.

arXiv comment18 pages, minor correction

References in corpus (3)

• Some Remarks on Strichartz Estimates for Homogeneous Wave Equation
• Time decay for the bounded mean oscillation of solutions of the Schrödinger and wave equations
• Restriction Estimates for space curves with respect to general measures

Cited by in corpus (5)

• Improved decay of conical averages of the Fourier transform
• Circular average relative to fractal measures
• Improved bounds for restricted projection families via weighted Fourier restriction
• Refined Strichartz inequalities for the wave equation
• Fourier decay of fractal measures on surfaces of co-dimension two in ${\mathbb{R}}^5$