Article ID Journal Published Year Pages File Type
4617855 Journal of Mathematical Analysis and Applications 2012 19 Pages PDF
Abstract

This paper is devoted to studying the initial–boundary value problem for one dimensional general quasilinear wave equations utt−uxx=b(u,Du)uxx+2a0(u,Du)utx+F(u,Du) on exterior domain. We obtain the sharp lower bound of the life-span of classical solutions to the initial–boundary value problem with small initial data and zero boundary data for one dimensional general quasilinear wave equations.

Related Topics
Physical Sciences and Engineering Mathematics Analysis