Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime (Q6079817)

scientific article; zbMATH DE number 7744443

Language	Label	Description	Also known as
English	Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime	scientific article; zbMATH DE number 7744443

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instance of

scholarly article

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title

Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime (English)

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29 September 2023

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full work available at URL

https://arxiv.org/abs/2009.04388

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zbMATH Keywords

semilinear wave equation

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Einstein-de Sitter spacetime

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power nonlinearity

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critical case

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lifespan estimates

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MaRDI profile type

MaRDI publication profile

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cites work

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Existence in the large for \(cmu=F(u)\) in two space dimensions

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Blow-up of solutions of nonlinear wave equations in three space dimensions

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Biow-up of solutions of some nonlinear hyperbolic equations

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Long-time existence for small amplitude semilinear wave equations

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The equation utt − Δu = |u|p for the critical value of p

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Nonexistence of global solutions to semilinear wave equations in high dimensions

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Finite time blow up for critical wave equations in high dimensions

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Q4858785

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Blow up of solutions to semilinear wave equations with critical exponent in high dimensions

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The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions

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Blow-up for the semilinear wave equation in the Schwarzschild metric.

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Lifespan estimate for semilinear wave equation in Schwarzschild spacetime

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Semilinear shifted wave equation in the de Sitter spacetime with hyperbolic spatial part

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Global in time existence of self-interacting scalar field in de Sitter spacetimes

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The semilinear Klein-Gordon equation in de Sitter spacetime

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Global existence of the scalar field in de Sitter spacetime

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Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime

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L p − L q Decay Estimates for the Wave Equations with Exponentially Growing Speed of Propagation

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Fundamental solutions for wave equation in Robertson-Walker model of universe and \(L^p-L^q\)-decay estimates

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A note on wave equation in Einstein and de Sitter space-time

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Microlocal analysis for waves propagating in Einstein \& de Sitter spacetime

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Critical curve for \(p\)-\(q\) systems of nonlinear wave equations in three space dimensions

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Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations

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NLWE with a special scale invariant damping in odd space dimension

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A shift in the strauss exponent for semilinear wave equations with a not effective damping

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Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity

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Life span of classical solutions to \(u_{tt} - u_{xx} =| u|^{1+\alpha}\)

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Identifiers

zbMATH Open document ID

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10.1080/00036811.2022.2088529

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6079817