报告题目:MultivaluedPerturbations of Nonlinear Evolution Equations and Topological
Regularityof 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 forcharacterizing the solution sets of differential equations orinclusions having no uniqueness, which is homeomorphic to anintersection of a decreasing sequence of compact contractible spacesor compact absolute retracts. In this talk we consider the Cauchyproblem of a nonlinear evolution inclusion involving families ofunbounded operators and set-valued nonlinearity with nonempty, convexand closed values. Main attention is paid to settling its solutionset carrying Aronszajn-type topological structure when an unboundedinterval 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” 、“Journalof Functional Analysis”、“Journalof DifferentialEquations”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。