Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime

DOI10.1142/S0129055X2050018XzbMath1460.35221arXiv1612.09536MaRDI QIDQ5149197

Anahit Galstian, Karen Yagdjian

Publication date: 8 February 2021

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

Full work available at URL: https://arxiv.org/abs/1612.09536

zbMATH Keywords

weighted initial conditionsmodels of cosmology, semilinear wave models, blow-up phenomena

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Singular hyperbolic equations (35L81)

Related Items (12)

Blow-up and lifespan estimates for a damped wave equation in the Einstein-de Sitter spacetime with nonlinearity of derivative type ⋮ On a semilinear wave equation in anti-de Sitter spacetime: The critical case ⋮ Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann–Lemaître–Robertson–Walker spacetime ⋮ The self-interacting Dirac fields in FLRW spacetime ⋮ Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime ⋮ Critical exponent of Fujita type for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime ⋮ Blow up of solutions of semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime ⋮ On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime ⋮ Blow-up results for semilinear damped wave equations in Einstein-de Sitter spacetime ⋮ Semilinear wave equation on compact Lie groups ⋮ A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime ⋮ Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime

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