Browsing Past Topics (PT) by Title
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Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
(20121231)The aim of this paper is two folded. Firstly, we study the validity of a Pohozaevtype identity for the Schrödinger operator A λ:=δλ/x 2, λ∈R, in the situation where the origin is located on the boundary of a smooth ... 
Second moment constraints and the control problem of Markov jump linear systems
(20131231)This paper addresses the optimal solution for the regulator control problem of Markov jump linear systems subject to second moment constraints. We can characterize and obtain the solution explicitly using linear matrix ... 
A semidiscrete largetime behavior preserving scheme for the augmented Burgers equation
(20170601)In this paper we analyze the largetime behavior of the augmented Burgers equation. We first study the wellposedness of the Cauchy problem and obtain $L^1L^p$ decay rates. The asymptotic behavior of the solution is ... 
Semimarkov graph dynamics
(20111231)In this paper, we outline a model of graph (or network) dynamics based on two ingredients. The first ingredient is a Markov chain on the space of possible graphs. The second ingredient is a semiMarkov counting process of ... 
Sensitivity analysis of 1d steady forced scalar conservation laws
(20131231)We analyze 1  d forced steady state scalar conservation laws. We first show the existence and uniqueness of entropy solutions as limits as t→ ∞ of the corresponding solutions of the scalar evolutionary hyperbolic conservation ... 
Shallowshell models by Γconvergence
(20121231)In this paper we derive, by means of Γconvergence, the shallowshell models starting from nonlinear threedimensional elasticity. We use the approach analogous to the one for shells and plates. We start from the minimization ... 
Sharp Observability Estimates for Heat Equations
(20111231)The goal of this article is to derive new estimates for the cost of observability of heat equations. We have developed a new method allowing one to show that when the corresponding wave equation is observable, the heat ... 
Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces
(20111231)We study an initial boundary value problem of a model describing the evolution in time of diffusive phase interfaces in solid materials, in which martensitic phase transformations driven by configurational forces take ... 
Solvability via viscosity solutions for a model of phase transitions driven by configurational forces
(20111231)This article is concerned with an initialboundary value problem for an ellipticparabolic coupled system arising in martensitic phase transition theory of elastically deformable solid materials, e.g., steel. This model ... 
Some controllability results for the 2D Kolmogorov equation
(20091231)In this article, we prove the null controllability of the 2D Kolmogorov equation both in the whole space and in the square. The control is a source term in the righthand side of the equation, located on a subdomain, that ... 
Sparse initial data identification for parabolic PDE and its finite element approximations
(20151231)We address the problem of inverse source identication for parabolic equations from the optimal control viewpoint employing measures of minimal norm as initial data. We adopt the point of view of approximate controllability ... 
Spherically symmetric solutions to a model for phase transitions driven by configurational forces
(20111231)We prove the globalintime existence of spherically symmetric solutions to an initialboundary value problem for a system of partial differential equations, which consists of the equations of linear elasticity and a ... 
Spike controls for elliptic and parabolic PDEs
(20131231)We analyze the use of measures of the minimal norm to control elliptic and parabolic equations. We prove the sparsity of the optimal control. In the parabolic case, we prove that the solution of the optimization problem ... 
A splitting method for the augmented Burgers equation
(20170701)In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of ﬁrst order. We also analyze the largetime behavior of the approximated solution by obtaining the ﬁrst term in the ... 
Stabilization of the wave equation on 1D networks
(20091231)In this paper we study the stabilization of the wa ve equation on general 1d networks. For that, we transfer known observability results in the context of control problems of conservative systems (see [R. Dáger and E. ... 
Stationary policies for the second moment stability in a class of stochastic systems
(20111231)This paper presents a study on the uniform second moment stability for a class of stochastic control system. The main result states that the existence of the longrun average cost under a stationary policy is equivalent ... 
Stationary waves to viscous heatconductive gases in halfspace: Existence, stability and convergence rate
(20101231)The main concern of this paper is to study largetime behavior of solutions to an ideal polytropic model of compressible viscous gases in onedimensional halfspace. We consider an outflow problem and obtain a convergence ... 
Statistical analysis and agentbased microstructure modeling of highfrequency financial trading
(20121231)A simulation of highfrequency market data is performed with the Genoa Artificial Stock Market. Heterogeneous agents trade a risky asset in exchange for cash. Agents have zero intelligence and issue random limit or market ... 
Strichartz estimates for the Schrödinger equation on a tree and applications
(20101231)In this paper, we consider the Schrödinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We obtain Strichartzlike estimates for the linear semigroup and apply them to ... 
Switching control
(20111231)We analyze the problem of switching controls for control systems endowed with different actuators. The goal is to control the dynamics of the system by switching from an actuator to another in a systematic way so that, at ...