Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

Abstract

We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of $L_x^{\infty }$ estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate $L_t^4{L}_x^{\infty }$ for $n=2$.

9 pages with 5 figures; some typos corrected

References in corpus (2)

• Angular Regularity and Strichartz Estimates for the Wave Equation
• Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation

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