Equivalence of minimax and viscosity solutions of path-dependent Hamilton-Jacobi equations

被引：0

作者：

Gomoyunov, Mikhail I. ^{[1
,2
]}

Plaksin, Anton R. ^{[1
,2
]}

机构：

[1] N.N. Krasovskii Institute of Mathematics and Mechanics, The Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., Ekaterinburg,620108, Russia

[2] Ural Federal University, 19 Mira Str., Ekaterinburg,620002, Russia

来源：

arXiv | 2022年

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Delay control systems - Mechanics - Optimal control systems - Viscosity

引用

共 50 条

[1] Equivalence of minimax and viscosity solutions of path-dependent Hamilton-Jacobi equations
Gomoyunov, M. I.
Plaksin, A. R.
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2023, 285 (11)
[2] Path-Dependent Hamilton-Jacobi Equations: The Minimax Solutions Revised
Gomoyunov, Mikhail I.
Lukoyanov, Nikolai Yu.
Plaksin, Anton R.
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 84 (SUPPL 1): : S1087 - S1117
[3] Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised
Mikhail I. Gomoyunov
Nikolai Yu. Lukoyanov
Anton R. Plaksin
[J]. Applied Mathematics & Optimization, 2021, 84 : 1087 - 1117
[4] Path-dependent Hamilton-Jacobi equations in infinite dimensions
Bayraktar, Erhan
Keller, Christian
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[5] ZERO-SUM GAMES FOR VOLTERRA INTEGRAL EQUATIONS AND VISCOSITY SOLUTIONS OF PATH-DEPENDENT HAMILTON-JACOBI EQUATIONS
Gomoyunov, Mikhail I.
[J]. arXiv,
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[8] Iterative procedure for constructing minimax and viscosity solutions of Hamilton-Jacobi equations
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[J]. DOKLADY AKADEMII NAUK, 1996, 348 (06) : 736 - 739
[9] Controlled ordinary differential equations with random path-dependent coefficients and stochastic path-dependent Hamilton-Jacobi equations
Qiu, Jinniao
[J]. arXiv, 2020,
[10] Controlled ordinary differential equations with random path-dependent coefficients and stochastic path-dependent Hamilton-Jacobi equations
Qiu, Jinniao
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2022, 154 : 1 - 25

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