Panrui Ni

Panrui Ni

JSPS Postdoctoral Fellow at Waseda University

Publications

  1. H. Mitake, P. Ni, Quantitative homogenization of convex Hamilton–Jacobi equations with Neumann type boundary conditions, Calculus of Variations and Partial Differential Equations, 65:154 (2026).

  2. H. Mitake, P. Ni, Rate of convergence for homogenization of nonlinear weakly coupled Hamilton–Jacobi systems, Journal of Differential Equations, 440:113442 (2025).

  3. P. Ni, M. Zavidovique, Nonlinear and degenerate discounted approximation in discrete weak KAM theory, Mathematische Zeitschrift, 310:63 (2025).

  4. P. Ni, L. Wang, J. Yan, A representation formula of the viscosity solution of the contact Hamilton–Jacobi equation and its applications, Chinese Annals of Mathematics, Series B, 46:449–480 (2025).

  5. P. Ni, L. Wang, A nonlinear semigroup approach to Hamilton–Jacobi equations–revisited, Journal of Differential Equations, 403:272–307 (2024).

  6. P. Ni, L. Wang, Aubry–Mather theory for contact Hamiltonian systems III, Science China Mathematics, 67:2541–2570 (2024).

  7. P. Ni, Time periodic solutions of first order mean field games from the perspective of Mather theory, Journal of Differential Equations, 412:881–901 (2024).

  8. P. Ni, Weakly coupled Hamilton–Jacobi systems without monotonicity condition: A first step, Communications on Pure and Applied Analysis, 23(7):961–983 (2024).

  9. P. Ni, K. Wang, J. Yan, Viscosity solutions of contact Hamilton–Jacobi equations with Hamiltonians depending periodically on unknown functions, Communications on Pure and Applied Analysis, 22(2):668–685 (2023).

  10. P. Ni, Multiple asymptotic behaviors of solutions in the generalized vanishing discount problem, Proceedings of the American Mathematical Society, 151(12):5239–5250 (2023).

  11. P. Ni, K. Wang, J. Yan, A weakly coupled mean field games model of first order for k groups of major players, Proceedings of the American Mathematical Society, accepted for publication.

  12. P. Ni, B. Shen, On variation of action integral in Finsler gravity, Annals of Physics, 404(1):93–114 (2019).

Preprints

  1. P. Ni, Sharp convergence rates for the vanishing discount problem with hyperbolic Aubry sets, arXiv:2609.02779.

  2. P. Ni, Quantitative homogenization of first-order ODEs, arXiv:2508.17628.

  3. H. Mitake, P. Ni, H. V. Tran, Quantitative homogenization of convex Hamilton–Jacobi equations with (u/\varepsilon)-periodic Hamiltonians, arXiv:2507.00663.

  4. A. Davini, P. Ni, J. Yan, M. Zavidovique, Convergence/divergence phenomena in the vanishing discount limit of Hamilton–Jacobi equations, arXiv:2411.13780.

  5. P. Ni, J. Yan, M. Zavidovique, Static class-guided selection of elementary solutions in non-monotone vanishing discount problems, arXiv:2602.09697.

  6. P. Ni, J. Yan, A PDE formulation of Lyapunov stability for contact-type Hamilton–Jacobi equations, arXiv:2604.24329.

  7. H. Mitake, P. Ni, Optimal semiconcavity with fractional modulus for Hamilton–Jacobi equations with Neumann boundary conditions, arXiv:2605.23248.