Remarks on quasilinear evolutions equations

In this paper we study the existence result of classical solutions for the quasilinear equation utt−Δu−M(∫Ω|∇u|2dx)Δutt=f, with initial data u(0)=u0, u(1)=u1 and homogeneous boundary conditions.

Bibliographic Details
Main Author: James E. Munoz Rivera
Format: Article
Language:English
Published: Hindawi Limited 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171291000984