Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime

DOI10.1063/1.4984308zbMath1370.83011arXiv1311.3459OpenAlexW1836663119WikidataQ126030932 ScholiaQ126030932MaRDI QIDQ5282826

De-Xing Kong, Chang-Hua Wei

Publication date: 17 July 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3459

zbMATH Keywords

energy estimatessmooth solutionslifespande Sitter spacetimeinitial data with compact supporttimelike extremal surface

Mathematics Subject Classification ID

Black holes (83C57) Hyperbolic conservation laws (35L65) Applications of differential geometry to physics (53Z05) Gravitational energy and conservation laws; groups of motions (83C40) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15) First-order hyperbolic systems (35L40)

Related Items (6)

The Lifespan of Smooth Solutions to Semilinear Wave Equations in Schwarzschild Space-Time ⋮ Boundedness of the total energy of relativistic membranes evolving in a curved spacetime ⋮ Integral transform approach to solving Klein-Gordon equation with variable coefficients ⋮ Stability of traveling wave for the relativistic string equation in de Sitter spacetime ⋮ Classical solutions to relativistic Burgers equations in FLRW space-times ⋮ Global existence of smooth solutions for wave maps in de Sitter spacetime

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