张旭教授学术报告：Finite Codimensional Controllability, and Optimal Control Problems with Endpoint State Cons
报告题目：FiniteCodimensional Controllability, and Optimal Control Problems with Endpoint StateConstraints
报 告 人：张旭教授（四川大学）
Motivated by thestudy of optimal control problems for infinite dimensional systems withendpoint state constraints, we introduce the notion of finitecodimensional (exact/approximate)controllability. Some equivalentcriteria 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.