Existence and blow up time estimate for a negative initial energy solution of a nonlinear Cauchy problem

DOI10.1007/S10440-020-00341-XzbMath1462.35096OpenAlexW3037274427MaRDI QIDQ829577

Paul A. Ogbiyele, Peter O. Arawomo

Publication date: 6 May 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-020-00341-x

zbMATH Keywords

global existencenonlinear wave equationblow upperturbed energy methodGalerkin approachfinite speed of propagation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Related Items (8)

General energy decay for wave equation with space-time potential and time delay in \(\mathbb{R}^n\) ⋮ An inverse problem for the wave equation with nonlinear dumping ⋮ Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics ⋮ One-dimensional inverse problem for nonlinear equations of electrodynamics ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Energy decay for a viscoelastic wave equation with space-time potential in \(\mathbb{R}^n\) ⋮ Energy decay for wave equations with nonlinear damping and space-time coefficient in Rn

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