Stability of traveling waves for Hamilton-Jacobi equations with finite speed perturbations |
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| Authors: | Zhixiong Chen |
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| Affiliation: | Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA |
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| Abstract: | We prove nonlinear stability of planar shock for general Hamilton-Jacobi equations with finite speed perturbation. Here we use energy estimates. It is shown that the solution connecting a weak shock is asymptotically stable under small perturbations. |
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| Keywords: | Hamilton-Jacobi equations Relaxation approximation Viscosity solution Stability of traveling waves |
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