“数理论坛”第112期：Observability inequalities for the heat equation with bounded potentials on the whole space

报告题目

Observability inequalities for the heat equation with bounded potentials on the whole space

报告时间

2019年10月16日（周三）上午10:30—11:30

报告地点

东区综合楼A座1404室

报告人

张灿博士

报告人

简介

张灿，武汉大学博士毕业，先后在巴黎六大和西班牙巴斯克大学做博士后研究工作。现供职于武汉大学数学与统计学院。近五年在Journal of the european mathematical society，Journal de mathematiquespures et appliquees等知名期刊发表论文10余篇，主持国家自然科学青年基金一项。

报告摘要

In this talk we establish an observability inequality for the heat equation with bounded potentialson the whole space. Roughly speaking, such a kind of inequality says that the total energy of solutionscan be controlled by the energy localized in a subdomain, which is equidistributed over the wholespace. The proof of this inequality is mainly adapted from the parabolic frequency function method,which plays an important role in proving the unique continuation property for solutions of parabolicequations. As an immediate application, we show that the null controllability holds for the heatequation with bounded potentials on the whole space.

邀请人

王明、刘汉兵副教授             2019年10月12日