Browsing Past Topics (PT) by Title
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Observability estimate for stochastic Schrödinger equations and its applications
(20131231)In this paper, we establish a boundary observability estimate for stochastic Schrödinger equations by means of the global Carleman estimate. Our Carleman estimate is based on a new fundamental identity for a stochastic ... 
Observability of heat processes by transmutation without geometric restrictions
(20111231)The goal of this note is to explain how transmutation techniques (originally introduced in [14] in the context of the control of the heat equation, inspired on the classical Kannai transform, and recently revisited in [4] ... 
On a nonlocal moving frame approximation of traveling waves
(20111231)The profiles of traveling wave solutions of a 1d reactiondiffusion parabolic equation are transformed into equilibria of a nonlocal equation, by means of an appropriate nonlocal change of variables. In this new formulation ... 
On an extension of a bilinear functional on Lp(Rd)⊗E to a Bochner space with an application to velocity averaging
(20131231)We examine necessary and sufficient conditions under which a continuous bilinear functional B on Lp(Rd)⊗E, p>1, E being a separable Banach space, can be continuously extended to a linear functional on Lp(Rd;E). The ... 
On approximation of an optimal boundary control problem for linear elliptic equation with unbounded coefficients
(20141231)We study an optimal boundary control problem (OCP) associated to a linear elliptic equation div (‚àáy + A(x)‚àáy) = f. The characteristic feature of this equation is the fact that the matrix A(x) = [aij (x)] i;j=1; 
On Hardy inequalities with singularities on the boundary [Sur les inégalités de Hardy avec des singularités sur la frontière]
(20111231)In this Note we present some HardyPoincaré inequalities with one singularity localized on the boundary of a smooth domain. Then, we consider conical domains in dimension N≥3 whose vertex is on the singularity and we show ... 
On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons
(20141231)In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L‚àû norm if the values of the energy and particle ... 
On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device
(20131231)This paper deals with the control problem of discretetime Markov jump linear systems for the case in which the controller does not have access to the state of the Markov chain. A necessary optimal condition, which is ... 
On the convergence of quadratic variation for compound fractional poisson processes
(20121231)The relationship between quadratic variation for compound renewal processes and MWright functions is discussed. The convergence of quadratic variation is investigated both as a random variable (for given t) and as a ... 
On the exact controllability of hyperbolic magnetic Schrödinger equations
(20141231)In this paper, we address the exact controllability problem for the hyperbolic magnetic Schr√∂dinger equation, which plays an important role in the research of electromagnetics. Typical techniques, such as Hamiltonian ... 
On the existence and asymptotic stability of solutions for unsteady mixinglayer models
(20141231)We introduce in this paper some elements for the mathematical analysis of turbulence models for oceanic surface mixing layers. We consider Richardsonnumber based vertical eddy diffusion models. We prove the existence of ... 
On the nonstationarity of financial time series: Impact on optimal portfolio selection
(20121231)We investigate the possible drawbacks of employing the standard Pearson estimator to measure correlation coefficients between financial stocks in the presence of nonstationary behavior, and we provide empirical evidence ... 
On the numerical solution of the control problem of switched linear systems
(20131231)This paper presents a method to compute an epsilonoptimal solution of the control problem of switched linear systems. A difficulty that emerges in the evalution of the optimal solution is that the cardinality of the ... 
On the positivity of solutions of systems of stochastic PDEs
(20131231)We study the positivity of solutions of a class of semilinear parabolic systems of stochastic partial differential equations by considering random approximations. For the family of random approximations we derive explicit ... 
On the quadratic finite element approximation of onedimensional waves: Propagation, observation, and control
(20121231)We study the propagation, observation, and control properties of the quadratic P 2classical finite element semidiscretization of the onedimensional wave equation on a bounded interval. A careful Fourier analysis of the ... 
On the regularity of nullcontrols of the linear 1d heat equation [Sur la regularité des contrôles pour l'équation de la chaleur linéaire]
(20111231)The 1d heat equation in a bounded interval is nullcontrollable from the boundary. More precisely, for each initial data y0εL2(0,1) there corresponds a unique boundary control of minimal L2(0,T)norm which drives the state ... 
On the response of autonomous sweeping processes to periodic perturbations
(20161201)If $x_0$ is an equilibrium of an autonomous differential equation $\dot x=f(x)$ and $\det \f'(x_0)\\not=0$, then $x_0$ persists under autonomous perturbations and $x_0$ transforms into a $T$periodic solution under ... 
On the Structure of $\infty$Harmonic Maps
(20141231)Let H ‚àà C 2(‚ÑùN√ón), H ‚â• 0. The PDE system (Formula presented.) arises as the EulerLagrange PDE of vectorial variational problems for the functional E ‚àû(u, Œ©) = {norm of matrix}H(Du){norm of matrix}L ‚àû(Œ©) defined ... 
On the wellposedness of mathematical models for multicomponent biofilms
(20151231)Bacterial biofilms are microbial depositions on immersed surfaces. Their mathematical description leads to degenerate diffusionreaction equations with two nonFickian effects: (i) a porous medium equation like degeneracy ... 
Optimal control and vanishing viscosity for the burgers equation
(20101231)[No abstract available]