Lifespan for radially symmetric solutions to systems of semilinear wave equations with multiple speeds

Publication date: 7 November 2008

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1221656647

zbMATH Keywords

small initial data three space dimensions

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Cites Work

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Sharp lower bound for the lifespan of systems of semilinear wave equations with multiple speeds
Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds
Blow-up for semilinear wave equations with initial data of slow decay in low space dimensions
Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions
Global existence for systems of wave equations with nonresonant nonlinearities and null forms
Global existence for a class of systems of nonlinear wave equations in three space dimensions
Resonance-type behaviour in a system of nonlinear wave equations
Global and almost-global existence for systems of nonlinear wave equations with different propagation speeds.
Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
Global behavior of solutions to nonlinear wave equations in three dimensions
Almost global existence to nonlinear wave equations in three space dimensions
Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions
Global solutions of nonlinear hyperbolic equations for small initial data
Uniform decay estimates and the lorentz invariance of the classical wave equation
Blow-up for quasi-linear wave equations in three space dimensions
Counterexample to Global Existence for Systems of Nonlinear Wave Equations with Different Propagation Speeds
On the lifespan of solutions of nonlinear wave equations with small initial data

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