These notes are intended to be a tutorial material revisiting in an almost self-contained way,
some control results for the Korteweg-de Vries (KdV) equation posed on a bounded interval …

In the last 40 years the study of initial boundary value problem for the Korteweg–de Vries
equation has had the attention of researchers from various research fields. In this note we …

This paper addresses the impact of the presence of a boundary memory term in the third-
order Korteweg–de Vries equation in a bounded interval 0, ℓ 0, ℓ. First, an overall literature …

In this paper we study the null controllability property of the linear Kuramoto− Sivashinsky
equation by means of either boundary or internal controls. In the Dirichlet boundary case, we …

This paper presents an output feedback control law for the Korteweg–de Vries equation. The
control design is based on the backstep** method and the introduction of an appropriate …

The critical length phenomenon of the Korteweg-de Vries equation is well known, however
in higher dimensions, it is unknown. This work explores this property in the context of the …

We establish results on the unique solvability of control problems for the Korteweg–de Vries
equation and its linearized analog in a bounded domain under an integral …

This paper is concerned with the existence of insensitizing controls for a nonlinear coupled
system of two Korteweg–de Vries (KdV) equations, typically known as the Hirota–Satsuma …

We consider a linear Korteweg--de Vries equation on a bounded domain with a left Dirichlet
boundary control. The controllability to the trajectories of such a system was proved in the …

The initial and initial-boundary value problems, posed on infinite domains for Korteweg–de
Vries equation, are considered. The right-hand side of the equation contains an unknown …