On exact solutions of a degenerate quasilinear wave equation with source term

Date

2006-10-19

Authors

Amroun, Nour-Eddine
Benaissa, Abbes

Journal Title

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Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper, we construct exact solutions of the Cauchy problem of degenerate quasilinear wave equation of Kirchhoff type, and study the effect of the nonlinear terms on the existence of solutions. We construct solutions that exist globally for some initial data, and that blow up in a finite time for some other initial data.

Description

Keywords

Kirchhoff equation, Exact solutions

Citation

Amroun, N. E., & Benaissa, A. (2006). On exact solutions of a degenerate quasilinear wave equation with source term. <i>Electronic Journal of Differential Equations, 2006</i>(133), pp. 1-6.

Rights

Attribution 4.0 International

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