Global in time existence of self-interacting scalar field in de Sitter spacetimes

DOI10.1016/j.nonrwa.2016.08.006zbMath1352.83005arXiv1602.03897OpenAlexW2963927804MaRDI QIDQ332360

Anahit Galstian, Karen Yagdjian

Publication date: 8 November 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03897

zbMATH Keywords

global solutionKlein-Gordon equationRiemannian manifoldsde Sitter space-timeself-interacting scalar field

Mathematics Subject Classification ID

Wave equation (35L05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Foliations (differential geometric aspects) (53C12) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (16)

The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential ⋮ Remarks on the derivation of several second order partial differential equations from a generalization of the Einstein equations ⋮ The global existence of small self-interacting scalar field propagating in the contracting universe ⋮ Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity ⋮ On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime ⋮ Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime ⋮ Semilinear wave equations on accelerated expanding FLRW spacetimes ⋮ On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime ⋮ Global existence of the self-interacting scalar field in the de Sitter universe ⋮ Propagation of massive scalar fields in pre-big bang cosmologies ⋮ A novel integral transform approach to solving hyperbolic equations in the curved space-times ⋮ Semilinear wave equation on compact Lie groups ⋮ Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields ⋮ On the numerical experiments of the Cauchy problem for semi-linear Klein-Gordon equations in the De Sitter spacetime ⋮ The Cauchy problem for the Klein–Gordon equation under the quartic potential in the de Sitter spacetime ⋮ Asymptotic behaviors of global solutions for a semilinear diffusion equation in the de Sitter spacetime

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