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Strichartz estimates for the Klein-Gordon equation in \(\mathbb{R}^{3+1}\). (English) Zbl 1515.81086

Summary: 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. We apply Strichartz estimates to study semilinear Klein-Gordon equations.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35B45 A priori estimates in context of PDEs
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