5 papers · 1 filter
A logarithmic convexity approach to quantitative unique continuation for the complex Ginzburg-Landau operator
Yueliang Duan, Borui Liu, Can Zhang
We establish quantitative unique continuation estimates for solutions of the complex Ginzburg-Landau equation in the framework of two-sphere and one-cylinder inequalities. While pr…
A Fast Observability for Diffusion Equations in
Yueliang Duan, Can Zhang
Given an equidistributed set in the whole Euclidean space, we have established in [1] that there exists a constant positive such that the observability inequality of diffusion…
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…