EXISTENCE OF VISCOSITY SOLUTIONS FOR HAMILTON-JACOBI EQUATIONS ON RIEMANNIAN MANIFOLDS VIA LYAPUNOV CONTROL

被引：0

作者：

della Corte, Serena ^{[1
]}

Kraaij, Richard C. ^{[1
]}

机构：

[1] Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, Delft,2628 CD, Netherlands

来源：

arXiv |

关键词：

D O I：

暂无

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学科分类号：

摘要：

Control theory - Dynamic programming - Lyapunov functions - Viscosity

引用

共 50 条

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SOUGANIDIS, PE
JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 56 (03) : 345 - 390
[2] On viscosity solutions of Hamilton-Jacobi equations
Zagatti, Sandro
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (01) : 41 - 59
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CRANDALL, MG
LIONS, PL
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[4] Hamilton-Jacobi equations and distance functions on Riemannian manifolds
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Mennucci, AC
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CRANDALL, MG
LIONS, PL
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[7] The optimal control related to Riemannian manifolds and the viscosity solutions to Hamilton-Jacobi-Bellman equations
Zhu, Xuehong
SYSTEMS & CONTROL LETTERS, 2014, 69 : 7 - 15
[8] On viscosity solutions of irregular Hamilton-Jacobi equations
T. Strömberg
Archiv der Mathematik, 2003, 81 : 678 - 688
[9] Viscosity solutions of discontinuous Hamilton-Jacobi equations
Chen, Xinfu
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INTERFACES AND FREE BOUNDARIES, 2008, 10 (03) : 339 - 359
[10] VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS AT THE BOUNDARY
CRANDALL, MG
NEWCOMB, R
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 94 (02) : 283 - 290

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