This paper tries to summarize recent results on the controllability of systems of (several)
parabolic equations. The emphasis is placed on the extension of the Kalman rank condition …

Among various interesting topics in partial differential equations, the theory of parabolic
equations could be singled out for at least one feature: it provides ground for the interaction …

This paper is concerned with the boundary controllability of non-scalar linear parabolic
systems. More precisely, two coupled one-dimensional parabolic equations are considered …

We consider the null controllability problem for two coupled parabolic equations with a
space-depending coupling term. We analyze both boundary and distributed null …

This paper is devoted to prove the controllability to trajectories of a system of n one-
dimensional parabolic equations when the control is exerted on a part of the boundary by …

We present a generalization of the Kalman rank condition to the case of n× n linear
parabolic systems with constant coefficients and diagonalizable diffusion matrix. To reach …

We deal with the internal observability for some coupled systems of partial differential
equations with constant or time-dependent coupling terms by means of a reduced number of …

In this paper, we present new controllability results for some nonlinear coupled parabolic
systems considered in a bounded domain Ω of [TeX:]\[$\mathbb {R} $ N (with N≥ 1 being …

This paper is devoted to the study of the null and approximate controllability for some
classes of linear coupled parabolic systems with less controls than equations. More …

We consider a 2× 2 system of parabolic equations with first and zeroth coupling and
establish a Carleman estimate by extra data of only one component without data of initial …