报 告 人：吴冬生 教授 (美国阿拉巴马大学)
报告题目：Sharp Space-Time Regularity of the Solution to a Stochastic Heat Equation Driven by a Fractional-Colored Noise
报告时间：2018年7月2日(周一)15:00
报告地点：静远楼1709室
报告摘要：
In this talk, we study a stochastic heat equation with a fractional-colored Gaussian noise,whose spatial operator is the square integrable generator of a Levy process. After establishing the existence of solution for the stochastic heat equation, we study the regularity of the solution (field) in both time and space variables. Under mild conditions, the main results give the exact uniform modulus of continuity and Chung-type laws of iterated logarithm.
Our results generalize and strengthen the corresponding results of Balan and Tudor (2008) and Tudor and Xiao (2017). The main tool used in our derivation is the strong local nondeterminism of the solution field. This talk is based on joint works with R. Herrell, R. Song and Y. Xiao.