On exact solutions of a degenerate quasilinear wave equation with source term
Date
2006-10-19
Authors
Amroun, Nour-Eddine
Benaissa, Abbes
Journal Title
Journal ISSN
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