Article ID Journal Published Year Pages File Type
4620224 Journal of Mathematical Analysis and Applications 2009 20 Pages PDF
Abstract

In this paper, we investigate the asymptotic behavior of classical solutions of reducible quasilinear hyperbolic systems with characteristic boundaries. Under some suitable assumptions, we prove that the solution approaches a combination of Lipschitz continuous and piecewise C1 traveling wave solution. As an application, we apply the result to the equation for time-like extremal surfaces in the Minkowski space–time R1+(1+n).

Related Topics
Physical Sciences and Engineering Mathematics Analysis