34 citations · 86 across the 32 of their papers we have counts for
7 papers · 1 filter
Unique continuation inequalities for the parabolic-elliptic chemotaxis system
Gengsheng Wang, Guojie Zheng
This paper studies the quantitative unique continuation for a semi-linear parabolic-elliptic coupled system on a bounded domain. This system is a simplified version of the chemotax…
Flow decomposition for heat equations with memory
Gengsheng Wang, Yubiao Zhang, Enrique Zuazua
We build up a decomposition for the flow generated by the heat equation with a real analytic memory kernel. It consists of three components: The first one is of parabolic nature; t…
Characterizations of stabilizable sets for some parabolic equations in
Shanlin Huang, Gengsheng Wang, Ming Wang
We consider the parabolic type equation in : \begin{align}\label{equ-0} (\partial_t+H)y(t,x)=0,\,\,\, (t,x)\in (0,\infty)\times\mathbb{R}^n;\;\; \quad y(0,x)\in L^2(\…
Asymptotic observability identity for the heat equation in R^d
Gengsheng Wang, Ming Wang, Yubiao Zhang
We build up an asymptotic observability identity for the heat equation in the whole space. It says that one can approximately recover a solution, through observing it over some cou…
Impulse output rapid stabilization for heat equations
Kim Dang Phung, Gengsheng Wang, Yashan Xu
The main aim of this paper is to provide a new feedback law for the heat equations in a bounded domain with Dirichlet boundary condition. Two constraints will be compulsory: Fi…
Observability Inequalities and Measurable Sets
J. Apraiz, L. Escauriaza, G. Wang +1
This paper presents two observability inequalities for the heat equation over . In the first one, the observation is from a subset of positive measure in $Ω\times(0,T…