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We consider the semilinear heat equation in a bounded domain of IR, with control on a subdomain and homogeneous Dirichlet boundary conditions. We prove that the system is null-controllable at anyâ€¦ (More)

- Enrique Zuazua
- SIAM Review
- 2005

- Louis Roder TcheugouÃ© TÃ©bou, Enrique Zuazua
- Numerische Mathematik
- 2003

We consider the finite-difference space semi-discretization of a locally damped wave equation, the damping being supported in a suitable subset of the domain under consideration, so that the energyâ€¦ (More)

- Gengsheng Wang, Enrique Zuazua
- SIAM J. Control and Optimization
- 2012

We prove the equivalence of the minimal time and minimal norm control problems for heat equations on bounded smooth domains of the euclidean space with homogeneous Dirichlet boundary conditions andâ€¦ (More)

- Anna Doubova, Enrique FernÃ¡ndez-Cara, Manuel GonzÃ¡lez-Burgos, Enrique Zuazua
- SIAM J. Control and Optimization
- 2002

We present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) in a bounded domain of RN with Dirichlet boundary conditions. We analyze theâ€¦ (More)

Abstract. We prove the null controllability of the heat equation perturbed by a singular inverse-square potential arising in quantum mechanics and combustion theory. This is done within the range ofâ€¦ (More)

- Felipe Wallison Chaves Silva, Xu Zhang, Enrique Zuazua
- SIAM J. Control and Optimization
- 2017

This article is devoted to study the null controllability of evolution equations with memory terms. The problem is challenging not only because the state equation contains memory terms but alsoâ€¦ (More)

In this paper we prove the optimality of the observability inequality for parabolic systems with potentials in even space dimensions n â‰¥ 2. This inequality (derived by E. FernÃ¡ndez-Cara and the thirdâ€¦ (More)

- Louis Roder TcheugouÃ© TÃ©bou, Enrique Zuazua
- Adv. Comput. Math.
- 2007

The energy of solutions of the wave equation with a suitable boundary dissipation decays exponentially to zero as time goes to infinity. We consider the finite-difference space semidiscretizationâ€¦ (More)

- Enrique Zuazua
- 2002

In these notes we analyze some problems related to the controllability and observability of partial differential equations and its space semidiscretizations. First we present the problems underâ€¦ (More)