报告题目:Multivalued Perturbations of Nonlinear Evolution Equations and Topological
Regularity of the Solution Sets
报 告 人:王荣年 教授 (上海师范大学)
报告时间:2016年7月5日(星期二)上午10:40-11:40
报告地点:4号楼4318室
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数学学院
2016年07月04日
报告摘要:
The Aronszajn-type topological regularity was proposed for characterizing the solution sets of differential equations or inclusions having no uniqueness, which is homeomorphic to an intersection of a decreasing sequence of compact contractible spaces or compact absolute retracts. In this talk we consider the Cauchy problem of a nonlinear evolution inclusion involving families of unbounded operators and set-valued nonlinearity with nonempty, convex and closed values. Main attention is paid to settling its solution set carrying Aronszajn-type topological structure when an unbounded interval is equipped.
报告人简介:
王荣年,数学博士,上海师范大学教授,博士生导师。曾获聘广东外语外贸大学云山学者(青年)、广东省高等学校“千百十人才工程”省级培养对象、江西省高校中青年骨干教师等。目前主要从事偏微分方程定性理论、多值发展方程及算子理论等问题的研究,完成的研究结果已被“Math. Annalen” 、“Journal of Functional Analysis”、“Journal of Differential Equations”等SCI检索杂志发表28篇。主持承担了国家自然科学基金面上项目、国家自然科学基金青年项目、4项省自然科学基金项目和2项省教育厅基金项目。