报告题目：Absorbing estimate implies trajectory statistical solutions for nonlinear elliptic equations in half-cylindrical domains
报告摘要：We reveal an essential property for a certain model nonlinear second-order elliptic equations in half-cylindrical domains, which is that absorbing estimate 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 unbounded domains, which should open up the frontier of the study of statistical property of solutions for elliptic equations.
报告人简介：赵才地，温州大学特聘教授，韩国全南大学兼职博导，教育部学位中心通讯评审专家，国家自然科学基金委通讯评审专家，浙江省新世纪人才，温州市领军人才，主要从事非线性发展方程——无穷维动力系统方面的研究，在《Math. Ann》、《J. Differential Equations》、《Nonlinearity》、《Science China： Math》等期刊上发表论文60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。
报告时间：2025年5月11日上午8:00-11:00
报告地点： 四楼会议室
主办单位：湖北民族大学数学与统计学院
联系人：唐利明
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