Large time behavior of solutions for a class of time-dependent Hamilton-Jacobi equations |
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Authors: | QiHuai Liu XinXiang Li Jun Yan |
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Abstract: | We study the long-time behavior of viscosity solutions for time-dependent Hamilton-Jacobi equations by the dynamical approach based on weak KAM (Kolmogorov-Arnold-Moser) theory due to Fathi. We establish a general convergence result for viscosity solutions and adherence of the graph as t→∞. |
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