On the Study of Some Parabolic Equations on Graphs

2017-11-06

学术报告



报告人:吴艺婷博士(中国人民大学)


报告题目:On the Study of Some Parabolic Equations on Graphs


时间:20171109日(星期四)下午15:00-16:30


地点:数学学院第二报告厅


摘要:In this talk, we present some resent results on the study of some parabolic equations on graphs. Let △ be the usual graph Laplacian. Using heat kernel estimates, we prove the existence and non existence of global solutions for


 on graphs. Further, we consider the nonlinear parabolic equation u_t=△u+f(u). We prove that if f satisfies certain assumptions, then the non-negative solution u of u_t=△u+f(u) blows up in a finite time, which generalizes the part of first results. This is a joint work with Yong Lin.



邀请人:孙玉华


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