Add to ORKGIn this paper, we investigate the exact controllability for a mixed problem for the equation u^n - [...] + f(u) = 0 in a non cylindrical domain. This model, without the resistance represented for f(u), is a linearization of Kirchhoff's equation for small vibrations of a stretched elastic string when the ends are variables, see Medeiros, Limaco, Menezes (2002). We employ a variant, due to Zuazua (1990b), of the Hilbert Uniqueness Method (HUM), idealized by Lions (1988a, b)
The paper deals with the exact controllability of partial differential equations by linear controls....
Transverse vibrations of a semi-bounded string consisting of different materials are considered. The...
We prove the local existence of a solution in low order Sobolev spaces for a class of semilinear n...
Let $\alpha: [0, \infty)\to(0, \infty)$ be a twice continuous differentiable function which satis...
In this article we study the exact controllability of a one-dimensional wave equation with mixed b...
This article studies the controllability property of a homogeneous linear string of length one, subm...
A mathematical model for the small vibration of an elastic string is considered. The model takes int...
Abstract This paper is concerned with exact internal controllability for a one-dimensional wave equa...
This paper studies (global) exact controllability of abstract semilinear equations. Applications inc...
In this paper we study the existence and uniqueness of the weak solution of a mathematical model tha...
We consider the exact controllability of a wave equation by means of dynamical boundary control. Un...
Abstract: In this work, we examine the exact controllability of the solution of a linear elasticity ...
AbstractIn this note, we prove the exact controllability for the semilinear wave equations in any sp...
We study controllability for a nonhomogeneous string and ring under an axial stretching te...
AbstractThis paper deals with existence, uniqueness, and regularity of solutions of the Dirichlet pr...
The paper deals with the exact controllability of partial differential equations by linear controls....
Transverse vibrations of a semi-bounded string consisting of different materials are considered. The...
We prove the local existence of a solution in low order Sobolev spaces for a class of semilinear n...
Let $\alpha: [0, \infty)\to(0, \infty)$ be a twice continuous differentiable function which satis...
In this article we study the exact controllability of a one-dimensional wave equation with mixed b...
This article studies the controllability property of a homogeneous linear string of length one, subm...
A mathematical model for the small vibration of an elastic string is considered. The model takes int...
Abstract This paper is concerned with exact internal controllability for a one-dimensional wave equa...
This paper studies (global) exact controllability of abstract semilinear equations. Applications inc...
In this paper we study the existence and uniqueness of the weak solution of a mathematical model tha...
We consider the exact controllability of a wave equation by means of dynamical boundary control. Un...
Abstract: In this work, we examine the exact controllability of the solution of a linear elasticity ...
AbstractIn this note, we prove the exact controllability for the semilinear wave equations in any sp...
We study controllability for a nonhomogeneous string and ring under an axial stretching te...
AbstractThis paper deals with existence, uniqueness, and regularity of solutions of the Dirichlet pr...
The paper deals with the exact controllability of partial differential equations by linear controls....
Transverse vibrations of a semi-bounded string consisting of different materials are considered. The...
We prove the local existence of a solution in low order Sobolev spaces for a class of semilinear n...