Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime

DOI10.1016/J.MATPUR.2023.02.009OpenAlexW4322505352MaRDI QIDQ2698033

Yi Zhou, Ning-An Lai

Publication date: 14 April 2023

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.09046

zbMATH Keywords

Schwarzschild spacetimeevent horizonsmall initial datalifespanpower type nonlinearity

Mathematics Subject Classification ID

PDEs in connection with relativity and gravitational theory (35Q75) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

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