Generalized characteristics and Lax–Oleinik operators: global theory
作者: Piermarco CannarsaWei Cheng
作者单位: 1Università di Roma “Tor Vergata”
2Nanjing University
刊名: Calculus of Variations and Partial Differential Equations, 2017, Vol.56 (5)
来源数据库: Springer Journal
DOI: 10.1007/s00526-017-1219-4
关键词: 35F2149L2537J50
英文摘要: For autonomous Tonelli systems on \(\mathbb {R}^n\) , we develop an intrinsic proof of the existence of generalized characteristics using sup-convolutions. This approach, together with convexity estimates for the fundamental solution, leads to new results such as the global propagation of singularities along generalized characteristics.
原始语种摘要: For autonomous Tonelli systems on \(\mathbb {R}^n\) , we develop an intrinsic proof of the existence of generalized characteristics using sup-convolutions. This approach, together with convexity estimates for the fundamental solution, leads to new results such as the global propagation of singularities along generalized characteristics.
全文获取路径: Springer  (合作)
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关键词翻译
关键词翻译
  • generalized 广义
  • fundamental 基本的
  • intrinsic 内倌
  • operators 操作符
  • proof 证明
  • estimates 估值
  • together 共同
  • develop 发展
  • propagation 传播
  • autonomous 自发的