报告题目：Absorbing estimate implies trajectory statistical solutions for nonlinear elliptic equations in half-cylindrical domains 
报 告 人：赵才地 教授 
报告时间：2025年4月11日（星期五）8：30-- 9：30 
报告地点：数学科学学院205  

报告摘要：In this talk, we reveal an essential property for a certain model nonlinear second-order elliptic equations in half-cylindrical domains, which is that absorbing estimation implies trajectory statistical solutions. The obtained results indicate that the trajectory statistical solutions associated with the elliptic equations satisfy the spatial Liouville theorem. The proofs rely on the theory of infinite-dimensional dynamical system and Kakutani-Riesz Representation Theorem. The approach and idea for construction trajectory statistical solutions presented here could be extended and developed to investigate the statistical solutions of elliptic equations on  the whol cylindrical domains, which should open up the frontier of the study of statistical property of solutions for elliptic equations.   

专家简介：赵才地，温州大学特聘教授，韩国全南大学兼职博导，浙江省新世纪人才，温州市科技创新领军人才，主要从事非线性发展方程——无穷维动力系统方面的研究，从无穷维动力系统的途径研究偏微分方程的不变测度和统计解，在一些典型非线性偏微分方程的统计解、轨道统计解以及随机偏微分方程的不变样本测度等方面取得若干成果，在《Math. Ann》、《J. Differential Equations》、《Nonlinearity》、《Adv. Differential Equations》、《Science China： Math》等期刊上发表论文80余篇，主持国家自然科学基金面上项目3项，青年基金和天元基金各1项，浙江省自然科学基金重点项目1项和面上项目2项，中国博士后科学基金1项，曾获浙江省自然科学三等奖。

编辑：王苗   审核：蒋毅   终审：屈加文