Global existence and blowup of smooth solutions to the semilinear wave equations in FLRW spacetime

DOI10.1063/5.0181173zbMATH Open1541.35499MaRDI QIDQ6551020

Publication date: 5 June 2024

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

Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with relativity and gravitational theory (35Q75) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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The nonlinear future stability of the FLRW family of solutions to the irrotational Euler-Einstein system with a positive cosmological constant
Global existence of the scalar field in de Sitter spacetime
The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant
Concerning the Strauss conjecture on asymptotically Euclidean manifolds
Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
The Glassey conjecture with radially symmetric data
Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant
Nonexistence of global solutions to semilinear wave equations in high dimensions
The semilinear Klein-Gordon equation in de Sitter spacetime
Future stability of the Einstein-non-linear scalar field system
Fundamental solutions of the wave equation in Robertson-Walker spaces
Power law inflation
Finite-time blow-up for solutions of nonlinear wave equations
Existence in the large for \(cmu=F(u)\) in two space dimensions
Nonlinear scattering theory at low energy
Blow-up of solutions of nonlinear wave equations in three space dimensions
Generalized Chaplygin gas model: dark energy -- dark matter unification and CMBR con\-straints
Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data
Stabilizing effect of the power law inflation on isentropic relativistic fluids
Modified Chaplygin gas cosmology
On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime
Blow-up results for semilinear damped wave equations in Einstein-de Sitter spacetime
Blow-up and lifespan estimates for a damped wave equation in the Einstein-de Sitter spacetime with nonlinearity of derivative type
On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime
Classical solutions to relativistic Burgers equations in FLRW space-times
Life-span of semilinear wave equations with scale-invariant damping: critical Strauss exponent case.
Global existence of smooth solutions to exponential wave maps in FLRW spacetimes
The stabilizing effect of spacetime expansion on relativistic fluids with sharp results for the radiation equation of state
Future stability of the FLRW spacetime for a large class of perfect fluids
Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry
Biow-up of solutions of some nonlinear hyperbolic equations
Classical solution to relativistic Burger’s equation in SdS and SAdS space-times
Role of modified Chaplygin gas in accelerated universe
Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann–Lemaître–Robertson–Walker spacetime
Blow up of solutions of semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
The universe dominated by the extended Chaplygin gas
The global future stability of the FLRW solutions to the Dust-Einstein system with a positive cosmological constant
The Large Scale Structure of Space-Time
Chaplygin-like gas and branes in black hole bulks
Blow up of solutions to the Cauchy problem for nonlinear wave equations
The blow up of solutions to semilinear wave equations on asymptotically Euclidean manifolds
Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime
Critical exponent of Fujita type for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime

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