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On the Approximate Controllability of Some Semilinear Parabolic Boundary-Value Problems

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Abstract.

We prove the approximate controllability of several nonlinear parabolic boundary-value problems by means of two different methods: the first one can be called a Cancellation method and the second one uses the Kakutani fixed-point theorem.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain , , , , , , ES

    J. I. Díaz

  2. INRIA, B.P. 105, Domaine de Voluceau-Rocquencourt, 78153 Le Chesnay Cedex, France , , , , , , FR

    J. Henry

  3. Departamento de Sistemas Informáticos y Programación, Universidad Complutense de Madrid, 28040 Madrid, Spain , , , , , , ES

    A. M. Ramos

Authors
  1. J. I. Díaz
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  2. J. Henry
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  3. A. M. Ramos
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Accepted 10 June 1996

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Díaz, J., Henry, J. & Ramos, A. On the Approximate Controllability of Some Semilinear Parabolic Boundary-Value Problems . Appl Math Optim 37, 71–97 (1998). https://doi.org/10.1007/s002459900069

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  • DOI: https://doi.org/10.1007/s002459900069

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