A generalization of a theorem of Barron and Jensen and a comparison theorem for lower semicontinuous viscosity solutions
A generalization of a theorem of Barron and Jensen and a comparison theorem for lower semicontinuous viscosity solutions
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Barron 和 Jensen 定理的推广以及较低半连续粘度解的比较定理
DOI：
10.1017/s0308210500000810
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
H. Ishii
中科院分区：
文献类型：
--
作者：
H. Ishii
本文推广和澄清了巴伦和詹森关于函数的次微分和超微分之间关系的一些观察，并将具有凸Hamilton算子的Hamilton-Jacobi方程的连续解的比较原理推广到无限维Hilbert空间中.
We extend and clarify some of observations due to Barron and Jensen concerning the relation between subdifferentials and superdifferentials of a function and extend the comparison principle for semicontinuous solutions of Hamilton–Jacobi equations with convex Hamiltonians to that in infinite-dimensional Hilbert spaces.