Semilinear wave equations of derivative type with spatial weights in one space dimension

DOI10.1016/J.NONRWA.2022.103764zbMath1517.35069arXiv2112.01015OpenAlexW4297537631MaRDI QIDQ6157228

Hiroyuki Takamura, Shunsuke Kitamura, Katsuaki Morisawa

Publication date: 20 June 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.01015

zbMATH Keywords

semilinear wave equationclassical solutionone dimensionlifespan

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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• Life-span of classical solutions to one dimensional nonlinear wave equations
• 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
• The lifespan of solutions to wave equations with weighted nonlinear terms in one space dimension
• The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension
• The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension.
• Global Existence and Blow-Up for Wave Equations with Weighted Nonlinear Terms in One Space Dimension
• Blow up of solutions to the Cauchy problem for nonlinear wave equations

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