6 citations · 19 across the 17 of their papers we have counts for
22 papers
The Lebesgue Integral Via The Tonelli Method
Luciano Pandolfi
Leonida Tonelli devised an interesting and efficient method to introduce the Lebesgue integral. The details of this method can only be found in the original Tonelli paper and in an…
On the fourth order Cattaneo equation of heat conduction with memory
Luciano Pandolfi
The well known heat equation with finite speed of propagation proposed by Cattaneo is obtained by a more general fourth order PDE when a certain (small) parameters is put equal to…
Controllability properties for equations with memory of fractional type
Luciano Pandolfi
We study a general class of control systems with memory, which in particular includes systems with fractional derivatives and integrals and also the standard heat equation. We prov…
Controllability of a linear system with persistent memory via boundary traction
Luciano Pandolfi
We consider a linear viscoelastic system of Maxwell-Boltzmann type. Hence, viscosity contributes a memory term to the elastic equation. The system is controlled via the traction ex…
Linear systems with persistent memory: An overview of the biblography on controllability
L. Pandolfi
We discuss the bibliography on control problems for systems with persistent memory
On the regularity of solutions to the Moore-Gibson-Thompson equation: a perspective via wave equations with memory
Francesca Bucci, Luciano Pandolfi
We undertake a regularity analysis of the solutions to initial/boundary value problems for the (third-order in time) Moore-Gibson-Thompson (MGT) equation. The key to the present in…
Joint identification via deconvolution of the flux and energy relaxation kernels of the Gurtin-Pipkin model in thermodynamics with memory
Luciano Pandolfi
In this paper we present a linear method for the identification of both the energy and flux relaxation kernels in the equation of thermodynamics with memory proposed by M.E. Gurtin…
Controllability and lack of controllability with smooth controls in viscoelasticity via moment methods
Luciano Pandolfi
In this paper we study controllability of a linear equation with persistent memory when the control belongs to $ H^k_0(0,T;L^2(\ZOMq)) $. In the case the memory is zero, our equati…
Identification of a space varying coefficient of a linear viscoelastic string of Maxwell-Boltzman type
Luciano Pandolfi
In this paper we solve the problem of the identification of a coefficient which appears in the model of a distributed system with persistent memory encountered in linear viscoelast…
The quadratic regulator problem and the Riccati equation for a process governed by a linear Volterra integrodifferential equations
L. Pandolfi
In this paper we study the quadratic regulator problem for a process governed by a Volterra integral equation in . Our main goal is the proof that it is possible to…
A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements
S. Avdonin, L. Pandolfi
We consider a distributed system of a type which is encountered in the study of diffusion processes with memory and in viscoelasticity. The key feature of such system is the persis…
Controllability of a viscoelastic plate using one boundary control in displacement or bending
L. Pandolfi
In this paper we consider a viscoelastic plate (linear viscoelasticity of the Maxwell-Boltzmann type) and we compare its controllability properties with the (known) controllability…
Identification of the relaxation kernel in diffusion processes and viscoelasticity with memory via deconvolution
L. Pandolfi
We present an algorithm for the identification of the relaxation kernel in the theory of diffusion systems with memory (or of viscoelasticity) which is linear, in the sense that we…
Regularity of the steering control for systems with persistent memory
Luciano Pandolfi, Daniele Triulzi
The following fact is known for large classes of distributed control systems: when the target is regular, there exists a regular steering control. This fact is important to prove c…
Controllability of isotropic viscoelastic bodies of Maxwell-Boltzmann type
Luciano Pandolfi
In this paper we consider a viscoelastic three dimensional body (of Maxwell-Boltzmann type) controlled on (part of) the boundary. We assume that the material is isotropic and homog…
Cosine operator and controllability of the wave equation with memory revisited
L. Pandolfi
Controllability of the heat equations with memory (of Gurtin-Pipkin type) has been studied using several methods with the following in common: the existing results on controllabili…
Approximate controllability and lack of controllability to zero of the heat equation with memory
L. Pandolfi, A. Halanay
In this paper we consider the heat equation with memory in a bounded region , , in the case that the propagation speed of the signal is infinite (i.e…
Sharp control time for viscoelastic bodys
Luciano Pandolfi
It is now well understood that equations of viscoelasticity can be seen as perturbation of wave type equations. This observation can be exploited in several different ways and it t…
Lack of controllability of thermal systems with memory
Andrei Halanay, Luciano Pandolfi
Heat equations with memory of Gurtin-Pipkin type have controllability properties which strongly resemble those of the wave equation. Instead, recent counterexamples show that when…
Traction, deformation and velocity of deformation in a viscoelastic string
Luciano Pandolfi
In this paper we consider a viscoelastic string whose deformation is controlled at one end. We study the relations and the controllability of the couples traction/velocity and trac…
Boundary controllability and source reconstruction in a viscoelastic string under external traction
Luciano Pandolfi
Treatises on vibrations devote large space to study the dynamical behavior of an elastic system subject to known external tractions. In fact, usually a "system" is not an isolated…
Linear Operator Inequality and Null Controllability with Vanishing Energy for unbounded control systems
Luciano Pandolfi, Enrico Priola, Jerzy Zabczyk
We consider linear systems on a separable Hilbert space , which are null controllable at some time under the action of a point or boundary control. Parabolic and hyperbo…