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 C 1 traveling wave solution. As an application, we apply the result to the equation for time-like extremal surfaces in the Minkowski space–time R 1 + ( 1 + n ) .
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