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Long time behavior of classical solutions to the generalized Goursat problem of quasilinear hyperbolic systems |
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| Authors: | Yan-Zhi Duan Kai-Chuan Xu |
| Affiliation: | a Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, PR China b Research Institute of Natural Gas Economy, Southwest Oil and Gasfield Company, Chengdu 610051, PR China c Department of Helicopter Mechanical Engineering, Army Aviation Institute, Beijing 101123, PR China |
| Abstract: | We investigate the existence of a global classical solution to the generalized Goursat problem. Under some degenerate assumptions of boundary conditions, we prove that the solution approaches a combination of Lipschitz continuous and a piecewise C1 traveling wave solution. |
| Keywords: | 35L50 35L60 |
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