This paper surveys several topics related to the observation and control of wave propagation
phenomena modeled by finite difference methods. The main focus is on the property of …

Abstract Contents Introduction § 1. Statement of the problem. Main results 1.1. Exact
boundary controllability of the Navier-Stokes equations 1.2. Local exact distributed …

This paper addresses some interesting results of mild solutions to fractional evolution
systems with order α∈(1, 2) in Banach spaces as well as the controllability problem. Firstly …

We consider the semilinear heat equation in a bounded domain of R d, with control on a
subdomain and homogeneous Dirichlet boundary conditions. We prove that the system is …

In this chapter we present some of the recent progresses done on the problem of
controllability of partial differential equations (PDE). Control problems for PDE arise in many …

This book is devoted to analyze the vibrations of simpli? ed 1? d models of multi-body
structures consisting of a? nite number of? exible strings d-tributed along planar graphs …

The turnpike property in contemporary macroeconomics asserts that if an economic planner
seeks to move an economy from one level of capital to another, then the most efficient path …

In this paper we prove the optimality of the observability inequality for parabolic systems with
potentials in even space dimensions n⩾ 2. This inequality (derived by E. Fernández-Cara …

The energy in a nonhomogeneous string that moves freely at one end and against unit
friction at the other is known to decay exponentially in time. The energy in fact vanishes in …

We consider a linear Schrödinger equation, on a bounded interval, with bilinear control, that
represents a quantum particle in an electric field (the control). We prove the exact …