On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime

DOI10.1016/j.jde.2020.09.015zbMath1451.35206OpenAlexW3088030563MaRDI QIDQ2208472

Makoto Nakamura

Publication date: 3 November 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.09.015

zbMATH Keywords

Cauchy problemde Sitter spacetimeProca equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Relativistic cosmology (83F05) PDEs in connection with relativity and gravitational theory (35Q75) Einstein-Maxwell equations (83C22) Maxwell equations (35Q61)

Related Items (2)

On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime ⋮ The Cauchy problem for the Klein–Gordon equation under the quartic potential in the de Sitter spacetime

Cites Work

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• The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime
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• The Cauchy problem for Chern-Simons-Proca-Higgs equations
• Global Solutions of Semilinear System of Klein-Gordon Equations in de Sitter Spacetime
• A Strichartz estimate for de Sitter space
• Dark matter gravitational interactions
• Semilinear Hyperbolic Equations in Curved Spacetime
• Global existence of the self-interacting scalar field in the de Sitter universe

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