Publications of Itsuki Watanabe
Publications of Itsuki Watanabe
Peer reviewed papers
Watanabe, I.
Deterministic limit of a density-dependent population model with triangle type nonlocal cross-diffusion, Stochastics and Dynamics, 2025.
Watanabe, I.
Markov Chain Approximation for Hamilton-Jacobi-Bellman Equation with Absorbing Boundary, SIAM Journal on Control and Optimization, 2024.
Watanabe, I.
Continuum Limit of Nonlocal Diffusion on Inhomogeneous Networks, Journal of Dynamics and Differential Equations, 2022.
Watanabe, I. and Toyoizumi, H.
Comparison between the Deterministic and Stochastic Models of Nonlocal Diffusion, Journal of Dynamics and Differential Equations, 2022.
Watanabe, I.
Application of Markov Chain Approximation Method to Nonlinear Diffusion Equation, Proceedings of the 55th ISCIE International Symposium on Stochastic Systems Theory and Its Applications (SSS'23), 2024.
Preprints
(with Taiga Kumagai) "Markov Chain Approximation for Hamilton-Jacobi-Bellman Equation with Reflecting Boundary". Submitted for publication, 2025.
"Optimal stopping problem for a density-dependent Markov jump process: viscosity solution approach". Submitted for publication, 2025.
High-density limit for nonlocal diffusion model with unbounded kernel.