The lifespan of solutions to wave equations with weighted nonlinear terms in one space dimension

DOI10.14492/HOKMJ/1498788020zbMath1391.35280arXiv1409.5877OpenAlexW2963518324MaRDI QIDQ2012191

Kyouhei Wakasa

Publication date: 28 July 2017

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5877

zbMATH Keywords

upper boundnonlinear wave equationlower bound

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Classical solutions to PDEs (35A09) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (7)

The lifespan of solutions to semilinear damped wave equations in one space dimension ⋮ The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights ⋮ Semilinear wave equations of derivative type with spatial weights in one space dimension ⋮ Blow-up of solutions to critical semilinear wave equations with variable coefficients ⋮ Global existence and finite time blow up for the weighted semilinear wave equation ⋮ On the critical decay for the wave equation with a cubic convolution in 3D ⋮ The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension

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