期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

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
原文传递
导出
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 asymptotic behavior viscosity solution weak KAM theory Hamilton-Jacobi equation 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
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献24

  • 1Arnaud M C. Convergence of the semi-group of Lax-Oleinik: A geometric point of view. Nonlinearity, 2005, 18: 1835 1840.
  • 2Barles G. Regularity results for first order Hamilton-Jacobi equations. Differential Integral Equations, 1990, 3:103-125.
  • 3Barles G, Roquejoffre J M. Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi equations. Comm Partial Differential Equations, 2006, 31:1209 1225.
  • 4Barles G, Souganidis P E. On the large time behavior of solutions of Hamilton-Jacobi equations. SIAM J Math Anal, 2000, 31:925-939.
  • 5Barles G, Souganidis P E. Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations. SIAM J Math Anal, 2001, 32:1311-1323.
  • 6Bernard P, Roquejoffre J M. Convergence to time-periodic solutions in time-periodic Hamilton-Jacobi equations on the circle. Comm Partial Differential Equations, 2004, 29:457-469.
  • 7Davini A, Siconolfi A. A generalized dynamical approach to the large time behavior of solutions of Hamilton-Jacobi equations. SIAM J Math Anal, 2006, 38:478 502.
  • 8Fathi A. Th6or~me KAM faible et th6orie de Mather sur les syst~mes lagrangiens. C R Math Acad Sci Paris, 1997, 324:1043-1046.
  • 9Fathi A. Sur la convergence du semi-groupe de Lax-Oleinik. C R Math Acad Sci Paris, 1998, 327:267~70.
  • 10Fathi A. The Weak KAM Theorem in Lagrangian Dynamics. Cambridge: Cambridge University Press, 2008.
Science China Mathematics
2016年 第5期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部