Now showing items 1-7 of 7

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      Control of weakly blowing up semilinear heat equations  [Chapter of Book]

      Fernández Cara, Enrique; Zuazua Iriondo, Enrique (Springer, 2002)
      In these notes we consider a semilinear heat equation in a bounded domain of IRd , with control on a subdomain and homogeneous Dirichlet boundary conditions. We consider nonlinearities for which, in the absence of ...
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      Control theory: history, mathematical achievements and perspectives  [Article]

      Fernández Cara, Enrique; Zuazua Iriondo, Enrique (Sociedad Española de Matemática Aplicada, 2003-12)
      These notes are devoted to present some of the mathematical milestones of Control Theory. To do that, we first overview its origins and some of the main mathematical achievements. Then, we discuss the main domains of ...
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      Las matemáticas del control  [Article]

      Fernández Cara, Enrique; Zuazua Iriondo, Enrique (Consejo Superior de Investigaciones Científicas (CSIC), 2007)
      In this article we discuss some issues related with Control Theory addressing its origin, main motivations and historical evolution. We describe some of the fundamental mathematical ingredients of the theory, and some of ...
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      Null and approximate controllability for weakly blowing up semilinear heat equations  [Article]

      Fernández Cara, Enrique; Zuazua Iriondo, Enrique (Elsevier, 2000-09)
      We consider the semilinear heat equation in a bounded domain of Rd , with control on a subdomain and homogeneous Dirichlet boundary conditions. We prove that the system is null-controllable at any time provided a globally ...
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      Null controllability of linear heat and wave equations with nonlocal spatial terms  [Article]

      Fernández Cara, Enrique; Lü, Qi; Zuazua Iriondo, Enrique (Society for Industrial and Applied Mathematics, 2016)
      In this paper, we study the null controllability of linear heat and wave equations with spatial nonlocal integral terms. Under some analyticity assumptions on the corresponding kernel, we show that the equations are ...
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      Numerical approximation of a one-dimensional elliptic optimal design problem  [Article]

      Casado Díaz, Juan; Castro Barbero, Carlos Manuel; Luna Laynez, Manuel; Zuazua Iriondo, Enrique (Society for Industrial and Applied Mathematics, 2011)
      We address the numerical approximation by finite-element methods of an optimal design problem for a two phase material in one space dimension. This problem, in the continuous setting, due to high frequency oscillations, ...
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      On the controllability of parabolic systems with a nonlinear term involving the state and the gradient  [Article]

      Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel; Zuazua Iriondo, Enrique (Society for Industrial and Applied Mathematics, 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 the controllability problem ...