Strichartz estimates for the Klein--Gordon equation in ${\mathbb{R}}^{3+1}$

Abstract

In this paper we prove standard and reversed Strichartz estimates for the Klein--Gordon equation in ${\mathbb{R}}^{3+1}$. Instead of the Fourier theory, our analysis is based on fundamental solutions of the free equations and fractional integrations. In the final part of this paper, we apply Strichartz estimates in the study of a semilinear Klein--Gordon equation.

39 pages

References in corpus (2)

• Multisolitons for the defocusing energy critical wave equation with potentials
• Strichartz Estimates for Wave equations with Charge Transfer Hamiltonian