International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 1, Pages 29-37
On a global classical solution of a quasilinear hyperbolic equation
1Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka 814-01, Japan
2lnstituto de Mathematica-UFRJ, Rio de Janeiro CP 68530, CEP 21944, Brazil
Received 16 June 1987
Copyright © 1989 Y. Ebihara and D. C. Pereira. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper we establish the existence and uniqueness of global classical
solutions for the equation which arises in the study of the extensional vibrations of
thin rod, or torsional vibrations of thin rod.