On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime
From MaRDI portal
Publication:2020468
DOI10.1016/J.JMAA.2021.125133zbMath1462.35101arXiv2103.00175OpenAlexW3134324010MaRDI QIDQ2020468
Kimitoshi Tsutaya, Yuta Wakasugi
Publication date: 23 April 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.00175
Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (10)
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 ⋮ On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime ⋮ Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann–Lemaître–Robertson–Walker spacetime ⋮ Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity ⋮ Critical exponent of Fujita type for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime ⋮ Scale-invariant semilinear damped wave models with mass term and integrable in time speed of propagation. ⋮ Blow up of solutions of semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime ⋮ 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
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
- Critical curve for \(p\)-\(q\) systems of nonlinear wave equations in three space dimensions
- Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data
- Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent
- Blow-up results for semilinear damped wave equations in Einstein-de Sitter spacetime
- Life-span of semilinear wave equations with scale-invariant damping: critical Strauss exponent case.
- Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping
- 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
This page was built for publication: On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime