Tien Khai Nguyen

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Area(s) of Expertise

- Nonlinear Partial Differential Equations
- Optimal Control, Differential Games, and Mean Field Games
- Nonsmooth Analysis and Geometric Measure Theory.

Publications

• On the structure of the value function of optimal exit time problems , CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2025)
• Generic properties of conjugate points in optimal control problems , Mathematical Control and Related Fields (2024)
• Generic properties of solutions to Hamilton-Jacobi equations , The 42th Southeastern-Atlantic Regional Conference on Differential Equations (2024)
• Piecewise regular solutions to scalar balance laws with singular nonlocal sources , JOURNAL OF DIFFERENTIAL EQUATIONS (2024)
• A lower bound on the quantitative version of the transversality theorem , JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2023)
• A quantitative version of the transversality theorem , Communications in Mathematical Sciences (2023)
• Control and Optimization: new developments and applications , 13th AIMS Conference on Dynamical Systems (2023)
• Diffusion Approximations of Markovian Solutions to Discontinuous ODEs , Journal of Dynamics and Differential Equations (2023)
• EXAMPLES AND CONJECTURES ON THE REGULARITY OF SOLUTIONS TO BALANCE LAWS , QUARTERLY OF APPLIED MATHEMATICS (2023)
• Generic Properties of First-Order Mean Field Games , DYNAMIC GAMES AND APPLICATIONS (2023)

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