Publications of Itsuki Watanabe
If you cannot see my manuscripts, let me know. I will share a PDF file.
Peer reviewed papers
Journals
Watanabe, I. and Toyoizumi, H.
Comparison between the Deterministic and Stochastic Models of Nonlocal Diffusion, Journal of Dynamics and Differential Equations, 2022.
Watanabe, I.
Continuum Limit of Nonlocal Diffusion on Inhomogeneous Networks, Journal of Dynamics and Differential Equations, 2022.
Watanabe, I.
Markov Chain Approximation for Hamilton-Jacobi-Bellman Equation with Absorbing Boundary, SIAM Journal on Control and Optimization, 2024.
International conference
"Application of Markov Chain Approximation Method to Nonlinear Diffusion Equation". to appear in Proceedings of the 55th ISCIE International Symposium on Stochastic Systems Theory and Its Applications (SSS'23).
Preprints
Submitted papers
"Deterministic limit of a density-dependent population model with triangle type nonlocal cross-diffusion". Submitted for publication, 2023.
Working papers
Markov Chain Approximation for Hamilton-Jacobi-Bellman Equation with Reflecting Boundary (with Taiga Kumagai).
High density limit for nonlocal cross-diffusion model with self-diffusion.