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On the Negative Limit of Viscosity Solutions for Discounted Hamilton-Jacobi Equations 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 19
作者:  Wang, Ya-Nan;  Yan, Jun;  Zhang, Jianlu
收藏  |  浏览/下载：57/0  |  提交时间：2023/02/07
Discounted Hamilton-Jacobi equation  Viscosity solution  Conjugated weak KAM solutions  Aubry Mather sets  Mane's genericity  
Essential Forward Weak KAM Solution for the Convex Hamilton-Jacobi Equation 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 页码: 10
作者:  Su, Xi Feng;  Zhang, Jian Lu
收藏  |  浏览/下载：105/0  |  提交时间：2022/04/02
Hamilton-Jacobi equation  discounted equation  weak KAM solution  Aubry-Mather theory  viscosity solution  
Global behaviors of weak KAM solutions for exact symplectic twist maps 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 7, 页码: 5730-5753
作者:  Zhang, Jianlu
收藏  |  浏览/下载：148/0  |  提交时间：2020/09/23
Exact syplectic twist map  Aubry Mather theory  Hamilton Jacobi equation  Generalized characteristics  Weak KAM solution  Transition chain  
Vanishing contact structure problem and convergence of the viscosity solutions 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 卷号: 44, 期号: 9, 页码: 801-836
作者:  Chen, Qinbo;  Cheng, Wei;  Ishii, Hitoshi;  Zhao, Kai
收藏  |  浏览/下载：156/0  |  提交时间：2020/01/10
Hamilton-Jacobi equation  convergence  vanishing discount  vanishing contact structure  Weak KAM theory  Aubry-Mather theory  
Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 267, 期号: 4, 页码: 2448-2470
作者:  Cannarsa, Piermarco;  Chen, Qinbo;  Cheng, Wei
收藏  |  浏览/下载：135/0  |  提交时间：2020/01/10
Hamilton-Jacobi equation  Weak KAM theory  Generalized characteristic  Singularities  
Numerical Solution to Optimal Feedback Control by Dynamic Programming Approach: A Local Approximation Algorithm 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 4, 页码: 782-802
作者:  Guo Bao-Zhu;  Wu Tao-Tao
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
Curse of dimensionality  Hamilton-Jacobi-Bellman equation  optimal feedback control  upwind finite difference  viscosity solutions.  
Equilibrium Dividend Strategy with Non-exponential Discounting in a Dual Model 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 卷号: 168, 期号: 2, 页码: 699-722
作者:  Li, Yongwu;  Li, Zhongfei;  Zeng, Yan
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Non-exponential discount function  Equilibrium strategy  Dividend payment  Dual model  Hamilton-Jacobi-Bellman equation  
Convergence of an Upwind Finite-Difference Scheme for Hamilton-Jacobi-Bellman Equation in Optimal Control 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 卷号: 60, 期号: 11, 页码: 3012-3017
作者:  Sun, Bing;  Guo, Bao-Zhu
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Convergence  finite-difference  Hamilton-Jacobi-Bellman equation  numerical approximation  optimal control  
Approximation of optimal feedback control: a dynamic programming approach 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2010, 卷号: 46, 期号: 3, 页码: 395-422
作者:  Guo, Bao-Zhu;  Wu, Tao-Tao
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Viscosity solution  Hamilton-Jacobi-Bellman equation  Finite difference  Optimal feedback control  
A class of volume-preserving numerical algorithms 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2008, 卷号: 206, 期号: 2, 页码: 841-852
作者:  Sun, Yajuan
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
Volume-preserving numerical algorithms  Source-free system  Hamilton-Jacobi equation  Generating function approach