Life span of classical solutions to \(u_{tt} - u_{xx} =| u|^{1+\alpha}\)
From MaRDI portal
Publication:1207256
zbMath0809.35062MaRDI QIDQ1207256
Publication date: 1 April 1993
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)
Related Items (21)
A remark on the blowing up of solutions to Nakao's problem ⋮ Nonexistence of global solutions to critical semilinear wave equations in exterior domain in high dimensions ⋮ The fundamental analysis method for the blow-up of wave equations in first quadrant ⋮ Blow-up result for a semilinear wave equation with a nonlinear memory term ⋮ Almost global solutions of semilinear wave equations with the critical exponent in high dimensions ⋮ Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime ⋮ Nonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative case ⋮ Blow-up for semilinear wave equations in four or five space dimensions ⋮ The combined effect in one space dimension beyond the general theory for nonlinear wave equations ⋮ Long time existence for the quadratic wave equation associated to the harmonic oscillator ⋮ The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights ⋮ Life-Span of Classical Solutions to a Semilinear Wave Equation with Time-Dependent Damping ⋮ Semilinear wave equations of derivative type with spatial weights in one space dimension ⋮ Life-span of classical solutions to one dimensional initial-boundary value problems for general quasilinear wave equations ⋮ Blow-up of solutions to the one-dimensional semilinear wave equation with damping depending on time and space variables ⋮ Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations ⋮ Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma ⋮ Life-span of classical solutions to one dimensional initial-boundary value problems for general quasilinear wave equations with Robin boundary conditions ⋮ Blow-up phenomena of semilinear wave equations and their weakly coupled systems ⋮ The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension ⋮ Lifespan estimates for a class of semilinear wave equations with time- and space-dependent coefficients on the power nonlinearity
This page was built for publication: Life span of classical solutions to \(u_{tt} - u_{xx} =| u|^{1+\alpha}\)