On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime

DOI10.1186/s13661-021-01571-0zbMath1506.35228arXiv2103.03746OpenAlexW3215376520WikidataQ113753442 ScholiaQ113753442MaRDI QIDQ2126846

Kimitoshi Tsutaya, Yuta Wakasugi

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03746

zbMATH Keywords

wave equationblow-uplifespanGlassey's conjectureFLRW spacetime

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Critical exponents in context of PDEs (35B33) Integral representations of solutions to PDEs (35C15) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) PDEs in connection with relativity and gravitational theory (35Q75) Blow-up in context of PDEs (35B44)

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On a semilinear wave equation in anti-de Sitter spacetime: The critical case, Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity

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