报告题目：Well-posedness and random dynamics of non-autonomous stochastic evolution equations driven by nonlinear noise

报告人：陈鹏玉教授

报告摘要：In this talk I will introduce our recent work on the well-posedness and random dynamics of non-autonomous stochastic evolution equations driven by nonlinear noise. We first consider the existence results of mild solutions under some weaker growth and measure of non-compactness conditions on nonlinear functions when the operators in linear part depend on time t and generate non-compact evolution families. Then, we investigate the existence and uniqueness of tempered pullback random attractors for a class of non-autonomous fractional nonclassical diffusion equations with nonlinear colored noise and time delay defined on the whole space.

报告人简介：陈鹏玉, 理学博士，西北师范大学数学与统计学院教授，兼任美国《Math Review》和德国《Zentralblatt MATH》评论员。 2022年入选甘肃省“飞天学者”特聘计划，2021年获甘肃省杰出青年基金资助。主要从事非线性分析与随机动力系统的研究，特别关注(随机)非局部发展方程的适定性与解的渐近行为，在国际著名数学刊物Mathematische Annalen、Journal of Geometric Analysis等上发表学术论文50余篇。主持国家自然科学基金2项，甘肃省杰出青年基金和甘肃省自然科学基金重点项目各1项。研究成果获甘肃省自然科学奖二等奖和三等奖各1项。

报告时间：2023年4月27日10点-11点

报告地点：6教南528学术报告厅