Asymptotic behavior of classical solutions of reducible quasilinear hyperbolic systems with characteristic boundaries |
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| Authors: | Yan-Zhi Duan |
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| Institution: | a Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China
b Center of Mathematical Sciences, Zhe Jiang University, Hangzhou 310027, China |
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| 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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| Keywords: | Reducible quasilinear system Global smooth solution Characteristic boundary Traveling wave Time-like extremal surface |
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