科学研究
报告题目:

Observability inequalities for the heat equation in an exterior domain with Neumann boundary conditions

报告人:

段月亮 (汕头大学)

报告时间:

报告地点:

老外楼应用数学系报告厅

报告摘要:

In this paper we establish an observability inequality for the heat equation with Neumann boundary conditions in exterior domains. We overcome the difficulties of Neumann boundary conditions and exterior domains by constructing a new method whose spirit is derived from combines Carleman commutator estimates and the parabolic frequency function method. As an immediate application, we show that the null controllability holds for the semilinear heat equations with Neumann boundary conditions in exterior domains.