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Now showing items 1-10 of 44

#### Optimal location of controllers for the one-dimensional wave equation

(Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 2013-12-31)

In this paper, we consider the homogeneous one-dimensional wave equation defined on (0,π). For every subset ωâŠ[0,π] of positive measure, every T≥2π, and all initial data, there exists a unique control of minimal norm in ...

#### Blowup for a time-oscillating nonlinear heat equation

(Acta Mathematica Universitatis Comenianae, 2013-12-31)

In this paper, we study a nonlinear heat equation with a periodic time oscillating term in factor of the nonlinearity. In particular, we give examples showing how the behavior of the solution can drastically change according ...

#### Optimal Observation of the One-dimensional Wave Equation

(Journal of Fourier Analysis and Applications, 2013-12-31)

In this paper, we consider the homogeneous one-dimensional wave equation on [0,π] with Dirichlet boundary conditions, and observe its solutions on a subset ω of [0,π]. Let L∈(0,1). We investigate the problem of maximizing ...

#### On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device

(International Journal of Robust and Nonlinear Control, 2013-12-31)

This paper deals with the control problem of discrete-time 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 ...

#### A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators

(ESAIM - Control, Optimisation and Calculus of Variations, 2013-12-31)

In this paper, a lower bound is established for the local energy of partial sum of eigenfunctions for Laplace-Beltrami operators (in Riemannian manifolds with low regularity data) with general boundary condition. This ...

#### A regularity property for Schrödinger equations on bounded domains

(Revista Matematica Complutense, 2013-12-31)

We give a regularity result for the free Schrödinger equations set in a bounded domain of ℝ N which extends the 1-dimensional result proved in Beauchard and Laurent (J. Math. Pures Appl. 94(5):520-554, 2010) with different ...

#### Convergence to equilibrium of some kinetic models

(Journal of Differential Equations, 2013-12-31)

We introduce in this paper a new constructive approach to the problem of the convergence to equilibrium for a large class of kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, which implies ...

#### Control and stabilization of waves on 1-d networks

(Lecture Notes in Mathematics, 2013-12-31)

We present some recent results on control and stabilization of waves on 1-d networks.The fine time-evolution of solutions of wave equations on networks and, consequently, their control theoretical properties, depend in a ...

#### Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy

(Mathematical Methods in the Applied Sciences, 2013-12-31)

Taking into account the occurrence of a zero of the surface diffusion current and the requirement of the Ehrlich-Schwoebel effect, Siegert et al. formulated a model of Langevin type that describes the growth of pyramid-like ...

#### Best constants and Pohozaev identity for hardy-sobolev-type operators

(Communications in Contemporary Mathematics, 2013-12-31)

This paper is threefold. Firstly, we reformulate the definition of the norm induced by the Hardy inequality (see [J. L. Vázquez and N. B. Zographopoulos, Functional aspects of the Hardy inequality. Appearance of a hidden ...