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

DOI10.1080/00036811.2022.2088529zbMath1523.35074arXiv2009.04388OpenAlexW3083779356MaRDI QIDQ6079817

Alessandro Palmieri

Publication date: 29 September 2023

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.04388

zbMATH Keywords

semilinear wave equationcritical casepower nonlinearitylifespan estimatesEinstein-de Sitter spacetime

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

On a semilinear wave equation in anti-de Sitter spacetime: The critical case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• NLWE with a special scale invariant damping in odd space dimension
• Global in time existence of self-interacting scalar field in de Sitter spacetimes
• Global existence of the scalar field in de Sitter spacetime
• Microlocal analysis for waves propagating in Einstein \& de Sitter spacetime
• A shift in the strauss exponent for semilinear wave equations with a not effective damping
• Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations
• Blow-up for the semilinear wave equation in the Schwarzschild metric.
• Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
• Nonexistence of global solutions to semilinear wave equations in high dimensions
• Fundamental solutions for wave equation in Robertson-Walker model of universe and \(L^p-L^q\)-decay estimates
• The semilinear Klein-Gordon equation in de Sitter spacetime
• Fundamental solutions of the wave equation in Robertson-Walker spaces
• Strichartz estimates on Schwarzschild black hole backgrounds
• Finite-time blow-up for solutions of nonlinear wave equations
• Existence in the large for \(cmu=F(u)\) in two space dimensions
• Life span of classical solutions to \(u_{tt} - u_{xx} =| u|^{1+\alpha}\)
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Critical curve for \(p\)-\(q\) systems of nonlinear wave equations in three space dimensions
• A competition between Fujita and Strauss type exponents for blow-up of semi-linear wave equations with scale-invariant damping and mass
• Regularity theory and global existence of small data solutions to semi-linear de Sitter models with power non-linearity
• Semilinear shifted wave equation in the de Sitter spacetime with hyperbolic spatial part
• Blow-up of solutions to critical semilinear wave equations with variable coefficients
• Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity
• Nonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative case
• Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms
• Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities
• Lifespan estimate for semilinear wave equation in Schwarzschild spacetime
• The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions
• Finite time blow up for critical wave equations in high dimensions
• The Strauss conjecture on Kerr black hole backgrounds
• On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case
• Blow up of solutions to semilinear wave equations with critical exponent in high dimensions
• Blow-up result for a semilinear wave equation with a nonlinear memory term
• The equation u_tt − Δu = |u|^p for the critical value of p
• Biow-up of solutions of some nonlinear hyperbolic equations
• Weighted Strichartz estimates and global existence for semilinear wave equations
• L p − L q Decay Estimates for the Wave Equations with Exponentially Growing Speed of Propagation
• Long-time existence for small amplitude semilinear wave equations
• 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
• A note on wave equation in Einstein and de Sitter space-time
• Semi‐linear wave models with power non‐linearity and scale‐invariant time‐dependent mass and dissipation
• A global existence result for a semilinear scale‐invariant wave equation in even dimension

This page was built for publication: Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime