Global solution of a nonlinear string equation

DOI10.1006/jmaa.1995.1198zbMath0837.35095OpenAlexW1968960125MaRDI QIDQ1900338

William G. Newman

Publication date: 31 October 1995

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1198

zbMATH Keywords

uniquenessglobal existence

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (45K05) Second-order nonlinear hyperbolic equations (35L70) Strings (74K05)

Related Items

Uniform stability of damped nonlinear vibrations of an elastic string ⋮ Stability of vibrations for some Kirchhoff equation with dissipation. ⋮ Boundary stabilization of nonlinear vibrations of a flexible structure in a bounded domain in \(\mathbb{R}^n\) ⋮ On Existence of global solutions for the carrier model with nonlinear damping and source terms ⋮ Exponential energy decay estimates for the solutions of \(n\)-dimensional Kirchhoff type wave equation ⋮ Exponential energy decay estimates for the solutions of \(n\)-dimensional Kirchhoff type wave equation ⋮ Discussions of A Galerkin method for a nonlinear integro-differential wave system by I. Christie and J.M. Sanz-Serna.