Global solutions for semilinear Klein-Gordon equations in FLRW spacetimes
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Publication:478307
DOI10.1016/j.na.2014.10.015zbMath1304.35425arXiv1401.3822OpenAlexW2963835502MaRDI QIDQ478307
Karen Yagdjian, Anahit Galstian
Publication date: 3 December 2014
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.3822
Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
- The nonlinear future stability of the FLRW family of solutions to the irrotational Euler-Einstein system with a positive cosmological constant
- Global existence of the scalar field in de Sitter spacetime
- Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
- An introduction to Sobolev spaces and interpolation spaces
- Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes
- Future stability of the Einstein-non-linear scalar field system
- A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces
- The wave equation on asymptotically de Sitter-like spaces
- Global wave maps on Robertson-Walker spacetimes
- Strichartz estimates on asymptotically de Sitter spaces
- The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime
- Semilinear Hyperbolic Equations in Curved Spacetime
- The Large Scale Structure of Space-Time
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