Einige Eigenschaften der Lösung der Wellengleichung mit der Korrektion von Rayleigh
Energy decay for wave equations of -Laplacian type with weakly nonlinear dissipation.
Energy decay of solutions of a wave equation of -Laplacian type with a weakly nonlinear dissipation.
Engergy decay for the quasilinear wave equation with viscosity.
Enlarged Asymptotic Compensation in Discrete Distributed Systems
This work concerns an enlarged analysis of the problem of asymptotic compensation for a class of discrete linear distributed systems. We study the possibility of asymptotic compensation of a disturbance by bringing asymptotically the observation in a given tolerance zone 𝒞. Under convenient hypothesis, we show the existence and the unicity of the optimal control ensuring this compensation and we give its characterization
Équation des ondes amorties dans un domaine extérieur
On étudie la position des pôles de diffusion du problème de Dirichlet pour l’équation des ondes amorties du type dans un domaine extérieur. Sous la condition du « contrôle géométrique extérieur », on déduit alors le comportement des solutions en grand temps. On calcule en particulier le meilleur taux de décroissance de l’énergie locale en dimension impaire d’espace.
Équations des ondes amorties
Equilibrium points for a wave equation with boundary control containing an integral term. (Points d'équilibre pour une équation des ondes avec contrôle frontière contenant un terme intégral.)
Error Analysis for Absorbing Boundary Conditions.
Estimates for the cut-off resolvent of the Laplacian for trapping obstacles
Étude d'une inégalité intégrale non linéaire en deux variables
Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings
Exact controllability for the wave equation in domains with variable boundary.
Exact controllability of the Euler-Bernoulli equation with -control only in the Dirichlet Boundary condition
The paper studies the problem of exact controllability of the Euler- Bernoulli equation in a cylinder of , via boundary controls acting on its lateral surface.
Exact Neumann boundary controllability for second order hyperbolic equations
Using HUM, we study the problem of exact controllability with Neumann boundary conditions for second order hyperbolic equations. We prove that these systems are exactly controllable for all initial states in and we derive estimates for the control time T.
Existence and asymptotic expansion of solutions to a nonlinear wave equation with a memory condition at the boundary.
Existence and boundary stabilization of a nonlinear hyperbolic equation with time-dependent coefficients.
Existence and uniqueness of generalized solutions to a telegraph equation with an integral boundary condition via Galerkin's method.
Existence and uniqueness of solutions of nonlocal problems for hyperbolic equation .
Existence, blow-up and exponential decay for a nonlinear Love equation associated with Dirichlet conditions
In this paper we consider a nonlinear Love equation associated with Dirichlet conditions. First, under suitable conditions, the existence of a unique local weak solution is proved. Next, a blow up result for solutions with negative initial energy is also established. Finally, a sufficient condition guaranteeing the global existence and exponential decay of weak solutions is given. The proofs are based on the linearization method, the Galerkin method associated with a priori estimates, weak convergence,...