On a nonlinear hyperbolic equation with anisotropy: Global existence and decay of solution

DOI10.1016/j.na.2008.04.006zbMath1162.35426OpenAlexW2063908464MaRDI QIDQ1006719

J. Martínez

Publication date: 25 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.04.006

zbMATH Keywords

existencedecayexponential and polynomial decayanisotropic nonlinear hyperbolic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (7)

Methods of model reduction for large-scale biological systems: a survey of current methods and trends ⋮ Global existence, uniqueness, and asymptotic behavior of solution for \(p\)-Laplacian type wave equation ⋮ Exponential stability for a plate equation with p-Laplacian and memory terms ⋮ Long time behaviour for solutions to a particular wave equation ⋮ Existence and blow up for a nonlinear hyperbolic equation with anisotropy ⋮ A geometric method for model reduction of biochemical networks with polynomial rate functions ⋮ Blow-up phenomenon for a nonlinear wave equation with anisotropy and a source term

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