Research keywords (7):
singular
, Dynamic Young diagram
, Harnack's inequality
, Stochastic differential equation
, Stochastic partial differential equation
, Analysis of Probability
, Probability Theory
Research theme for competitive and other funds (9):
2020 - 2023 Stochastic analysis on stochastic generalized Cahn-Hilliard equations
2016 - 2019 Various properties relative to intermittency of space-time fractional SPDEs
2014 - 2017 Stochastic analytic study on Kardar-Parisi-Zhang equation
2010 - 2015 Stochastic analysis on large scale interacting systems and its applications
2013 - 2015 分数冪ラプラシアンを持つ確率Burgers方程式の確率解析
2009 - 2012 特異性を持つ確率偏微分方程式の研究
2009 - 2011 Study on stochastic partial differential equations with singular coefficients
Stochastic analysis on stochastic generalized Cahn-Hilliard equations
Stochastic Partial Differential Equations
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Papers (22):
Kazuki Adachi, Bin Xie. One dimensional BSDEs with critical integrable terminal values and infinite time horizon. Systems & Control Letters. 2024. 187. 105779-105779
Tadahisa Funaki, Bin Xie. Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs. Stochastics and Partial Differential Equations: Analysis and Computations. 2022. 10. 3. 858-897
B. Xie. Log-Harnack inequality for reflected SPDEs driven by multiplicative noises and its applications. Stochastics and Partial Differential Equations: Analysis and Computations. 2022. 10. 2. 419-445
Tadahisa Funaki, Masato Hoshino, Sunder Sethuraman, Bin Xie. Asymptotics of PDE in random environment by paracontrolled calculus. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 2021. 57. 3. 1702-1735
L. Goudenège, B. Xie. Ergodicity of stochastic Cahn-Hilliard equations with logarithmic potentials driven by degenerate or nondegenerate noises. J. Differential Equations. 2020. 269. 9. 6988-7014