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Large time behavior of solutions for a class of time-dependent Hamilton-Jacobi equations

Large time behavior of solutions for a class of time-dependent Hamilton-Jacobi equations
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摘要 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 →∞. 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 →∞.
作者 LIU QiHuai LI XinXiang YAN Jun
机构地区 School of Mathematical Sciences School of Mathematics and Computing Sciences Department of Mathematics
出处 《Science China Mathematics》 SCIE CSCD 2016年第5期875-890,共16页 中国科学：数学（英文版）
基金 supported by National Natural Science Foundation of China(Grant Nos.11325103 11301106 and 11201288) China Postdoctoral Science Foundation(Grant No.2014M550210) Guangxi Experiment Center of Information Science(Grant No.YB1410)
关键词 哈密顿-雅可比方程 大时间行为 KOLMOGOROV 长时间行为 动态方法 粘性解 收敛 asymptotic behavior viscosity solution weak KAM theory Hamilton-Jacobi equation
分类号 O175 [理学—基础数学]
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参考文献24

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Science China Mathematics
2016年 第5期

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