报告人:赵育林 (中山大学) 

时间：2021年12月6日 14:00-15:00  

地点：腾讯会议（ID：944 877 722）

摘要：In this talk, we focus on investigating the real Jacobian conjecture. The talk consists of two parts. The first part is to study  the two-dimensional real Jacobian conjecture via the method of the qualitative theory of dynamical systems. We provide some necessary and sufficient conditions such that the two-dimensional real Jacobian conjecture holds. Applying these results we present an algebraic criterion such that two-dimensional real Jacobian conjecture holds.  This algebraic criterion improves the main result of Braun et al  J. Differential Equations 260 (2016) 5250-5258. In the second part, the necessary and sufficient conditions on the n-dimensional real Jacobian conjecture is obtained. Using the tool from the nonlinear functional analysis, F(x)  is a global injective if and only if the norm of F(x) approaches to infinite as the norm of x tends to infinity, which is a generalization of  the   algebraic criterion of  two-dimensional.



邀请人:赵云