38 citations · 43 across the 6 of their papers we have counts for
6 papers
-control problem for a singular parabolic system with convection
Cristian Cazacu, Gabriela Marinoschi, Teodor Rugină
We study the control problem for an infinite dimensional parabolic system, with a convection term, perturbed by a singular inverse-square potential with control distribu…
A Convection-Diffusion model on a star shaped graph
Cristian M. Cazacu, Liviu I. Ignat, Ademir F. Pazoto +1
In this paper we study a convection-diffusion equation on a star-shaped graph composed by incoming edges and outgoing edges with a nonlinearity $f\in C^1(\rr)$ satisfying s…
Null Controllability of the Kuramoto-Sivashinsky Equation on star-shaped trees
Cristian M. Cazacu, Liviu I. Ignat, Ademir F. Pazoto
In this paper we treat controllability properties for the linear Kuramoto-Sivashinsky equation on a network with two types of boundary conditions. More precisely, the equation is c…
On The Asymptotic Behavior Of A Subcritical Convection-Diffusion Equation With Nonlocal Diffusion
C. Cazacu, L. Ignat, A. Pazoto
In this paper we consider a subcritical model that involves nonlocal diffusion and a classical convective term. In spite of the nonlocal diffusion, we obtain an Oleinik type estima…
The Hardy inequality and the heat equation with magnetic field in any dimension
Cristian Cazacu, David Krejcirik
In the Euclidean space of any dimension d, we consider the heat semigroup generated by the magnetic Schroedinger operator from which an inverse-square potential is subtracted in or…
Controllability of the heat equation with an inverse-square potential localized on the boundary
Cristian Cazacu
This article is devoted to analyze control properties for the heat equation with singular potential arising at the boundary of a smooth domain $Ω\subset \rr^N$, $N\geq 1…