报告题目：FiniteCodimensional Controllability, and Optimal Control Problems with Endpoint StateConstraints

报 告 人：张旭教授（四川大学）

报告时间：2018年12月20日下午3:00-4:00

报告地点：知新楼B-1238

报告摘要：

Motivated by thestudy of optimal control problems for infinite dimensional systems withendpoint state constraints, we introduce the notion of finite  codimensional (exact/approximate)controllability. Some equivalent criteria on the finite codimensional controllability are presented. Inparticular, the finite codimensional exact controllability is reduced toderiving a Gårding type inequality for the dual system, which is new for manyevolution equations. This inequality can be verified for some concrete problems(and hence applied to the corresponding optimal control problems), say the waveequations with both time and space dependent potentials.

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