Semilinear Hyperbolic Equations in Curved Spacetime

DOI10.1007/978-3-319-02550-6_20zbMath1320.35224arXiv1305.4404OpenAlexW1544465054MaRDI QIDQ5251151

Karen Yagdjian

Publication date: 22 May 2015

Published in: Fourier Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4404

zbMATH Keywords

Huygens' principleKlein-Gordon equationglobal solutionsde Sitter spacetimeHiguchi bound

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Quantum field theory on curved space or space-time backgrounds (81T20) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (14)

Global in time existence of self-interacting scalar field in de Sitter spacetimes ⋮ A dissipation-preserving scheme to approximate radially symmetric solutions of the Higgs boson equation in the de Sitter space-time ⋮ Semilinear wave equations on accelerated expanding FLRW spacetimes ⋮ Integral Transform Approach to Time-Dependent Partial Differential Equations ⋮ 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 ⋮ Global solutions for semilinear Klein-Gordon equations in FLRW spacetimes ⋮ Integral transform approach to generalized Tricomi equations ⋮ On the global weak solution problem of semilinear generalized Tricomi equations. II ⋮ The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime ⋮ An implicit and convergent method for radially symmetric solutions of Higgs' boson equation in the de Sitter space-time ⋮ 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 ⋮ The 𝒫(𝜑)₂ Model on de Sitter Space

This page was built for publication: Semilinear Hyperbolic Equations in Curved Spacetime