Generalized characteristics and Lax-Oleinik operators: global theory
Generalized characteristics and Lax-Oleinik operators: global theory
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广义特征和 Lax-Oleinik 算子：全局理论
DOI：
10.1007/s00526-017-1219-4
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发表时间：
2017-10-01
影响因子：
2.1
通讯作者：
Cheng, Wei
中科院分区：
文献类型：
--
作者：
Cannarsa, Piermarco;Cheng, Wei
对于R-n上的自治Tonelli系统，我们利用超卷积给出了广义特征存在性的内在证明。这种方法，连同对基本解的凸性估计，导致了新的结果，如奇点沿广义特征的全局传播。
For autonomous Tonelli systems on 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.