2 citations · 4 across the 11 of their papers we have counts for
12 papers
On the equilibriation of chemical reaction-diffusion systems with degenerate reactions
Laurent Desvillettes, Kim Dang Phung, Bao Quoc Tang
The trend to equilibrium for reaction-diffusion systems modelling chemical reaction networks is investigated, in the case when reaction processes happen on subsets of the domain. W…
An optimal spectral inequality for degenerate operators
Rémi Buffe, Kim Dang Phung, Amine Slimani
In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerate one dimensional elliptic operator. Carleman techniques and moment method are combined. Application…
Exponential decay toward equilibrium via log convexity for a degenerate reaction-diffusion system
Laurent Desvillettes, Kim Dang Phung
We consider a system of two reaction-diffusion equations coming out of reversible chemistry. When the reaction happens on the totality of the domain, it is known that exponential c…
Observation estimate for the heat equations with Neumann boundary condition via logarithmic convexity
Rémi Buffe, Kim Dang Phung
We prove an inequality of Hölder type traducing the unique continuation property at one time for the heat equation with a potential and Neumann boundary condition. The main feature…
Carleman commutator approach in logarithmic convexity for parabolic equations
Kim Dang Phung
In this paper we investigate on a new strategy combining the logarithmic convexity (or frequency function) and the Carleman commutator to obtain an observation estimate at one time…
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…