3 citations · 6 across the 9 of their papers we have counts for
9 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…
A uniform bound on costs of controlling semilinear heat equations on a sequence of increasing domains and its application
Lijuan Wang, Can Zhang
In this paper, we first prove a uniform upper bound on costs of null controls for semilinear heat equations with globally Lipschitz nonlinearity on a sequence of increasing domains…
Constrained approximate null controllability of coupled heat equation with periodic impulse controls
Lijuan Wang, Qishu Yan, Huaiqiang Yu
This paper is concerned with the constrained approximate null controllability of heat equation coupled by a real matrix , where the controls are impulsive and periodically acted…
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…
Minimal time control of exact synchronization for parabolic systems
Lijuan Wang, Qishu Yan
This paper studies a kind of minimal time control problems related to the exact synchronization for a controlled linear system of parabolic equations. Each problem depends on two p…
A Game Problem for Heat Equation
Lijuan Wang, Donghui Yang, Zhiyong Yu
In this paper, we consider a two-person game problem governed by a linear heat equation. The existence of Nash equilibrium for this problem is considered. Moreover, the bang-bang p…
Bang-bang property of time optimal controls for some semilinear heat equation
Lijuan Wang, Qishu Yan
In this paper, we derive a bang-bang property of a kind of time optimal control problem for some semilinear heat equation on bounded domains (of the Euclidean space), with ho…
Impulse and sampled-data optimal control of heat equations, and error estimates
Emmanuel Trélat, Lijuan Wang, Yubiao Zhang
We consider the optimal control problem of minimizing some quadratic functional over all possible solutions of an internally controlled multi-dimensional heat equation with a perio…