数学科学学院报告会

报告人：Michel Cristofol
       LATP Aix Marseille University

报告地点：管理科研楼1518

报告时间1：2013年3月21日星期四  上午10:00―11:00

报告题目1：Systems of parabolic equations：uniqueness and reconstruction of coefficients via two methods

Abstract: In this talk I am interested to give an overview of recent results concerning the construction of one or several coefficients associated to systems of linear and nonlinear parabolic equations.
  The main goal is to obtain these results minimizing the observations. The first results involve Carleman inequalities and give a Lipschitz stability result but a measurement of the components of the system on all the domain is necessary. The last result (see [1]) avoids this constraint and concerns a uniqueness result for a strong nonlinear parabolic system (Lotka Volterra type). The use of the initial condition is a partial answer to a longstanding open problem.

References
[1] M Cristofol and L Roques. The inverse problem of determining several coefficients in a nonlinear Lotka-Volterra system, submitted in Inverse Problems.

报告时间2：2013年3月28日星期四  上午10:00―11:00

报告题目2：Inverse problems for parabolic operators: comparison of three different approaches

Abstract: Basing my talk around a toy problem: reconstruction of the potential for a linear parabolic problem, I will recall the two main classical following methods: Dirichlet to Neumann map and Carleman estimates. Then I will present a different and recent approach and I will underline some points to be improved for each method.

欢迎感兴趣的师生参加！