Boundedness of the total energy of relativistic membranes evolving in a curved spacetime

DOI10.1016/j.jde.2018.02.032zbMath1390.35357arXiv1610.02519OpenAlexW2529884580WikidataQ130033343 ScholiaQ130033343MaRDI QIDQ1743811

Philippe G. LeFloch, Chang-Hua Wei

Publication date: 16 April 2018

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

Full work available at URL: https://arxiv.org/abs/1610.02519

zbMATH Keywords

curved spacetimehyperboloidal foliation methodevolution of relativistic membranesglobal energy bound

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (6)

Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds ⋮ Nonlinear stability of self-gravitating massive fields. A wave-Klein–Gordon model ⋮ Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model ⋮ The Lifespan of Smooth Solutions to Semilinear Wave Equations in Schwarzschild Space-Time ⋮ Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime ⋮ Stability of traveling wave for the relativistic string equation in de Sitter spacetime

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