4 papers
Quantitative unique continuation for parabolic equations with Neumann boundary conditions
Yueliang Duan, Lijuan Wang, Can Zhang
In this paper, we establish a globally quantitative estimate of unique continuation at one time point for solutions of parabolic equations with Neumann boundary conditions in bound…
Quantitative unique continuation and observability on an equidistributed set for the diffusion equation in R^N
Yueliang Duan, Huaiqiang Yu, Can Zhang
In this paper, we obtain a quantitative estimate of unique continuation and an observability inequality from an equidistributed set for solutions of the diffusion equation in the w…
Observability inequalities for the heat equation with bounded potentials on the whole space
Yueliang Duan, Lijuan Wang, Can Zhang
In this paper we establish an observability inequality for the heat equation with bounded potentials on the whole space. Roughly speaking, such a kind of inequality says that the t…
Minimal time impulse control of the heat equation
Yueliang Duan, Lijuan Wang, Can Zhang
The paper is concerned with a kind of minimal time control problem for the heat equation with impulse controls. The purpose of such a problem is to find an optimal impulse control…