Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann–Lemaître–Robertson–Walker spacetime

DOI10.1142/S0129055X22500039zbMath1483.35279OpenAlexW3202929015MaRDI QIDQ5069296

Kimitoshi Tsutaya, Yuta Wakasugi

Publication date: 8 April 2022

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

Full work available at URL: https://doi.org/10.1142/s0129055x22500039

zbMATH Keywords

wave equationblow-uplifespanFLRW

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Quantum field theory on curved space or space-time backgrounds (81T20) Blow-up in context of PDEs (35B44) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (2)

On a semilinear wave equation in anti-de Sitter spacetime: The critical case ⋮ Scale-invariant semilinear damped wave models with mass term and integrable in time speed of propagation.

Cites Work

• Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25--29, 2012
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• Blow up of solutions of semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
• Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime
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