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Strichartz estimates for
the Klein–Gordon equation in $\mathbb{R}^{3+1}$
Marius Beceanu and Gong Chen |
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Vol. 4 (2022), No. 4, 767–809
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Abstract |
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We prove standard and reversed Strichartz estimates for the Klein–Gordon equation in . 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. |
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Keywords
Klein–Gordon equation, Strichartz estimates, dispersive
estimates
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Mathematical Subject Classification
Primary: 37L50, 42B20
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Milestones
Received: 23 August 2021
Revised: 12 May 2022
Accepted: 14 July 2022
Published: 21 January 2023
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Authors |
| Marius Beceanu | |
| Department of Mathematics and
Statistics University at Albany SUNY Albany, NY United States |
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| Gong Chen | |
| School of Mathematics Georgia Institute of Technology Atlanta, GA United States |
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