Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620224 | Journal of Mathematical Analysis and Applications | 2009 | 20 Pages |
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).
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