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Global Null Controllability of the 1-Dimensional Nonlinear Slow Diffusion Equation

In: Partial Differential Equations: Theory, Control and Approximation

Author

Listed:
  • Jean-Michel Coron

    (Institut Universitaire de France and Université Pierre et Marie Curie (Paris 6), UMR 7598 Laboratoire Jacques-Louis Lions)

  • Jesús Ildefonso Díaz

    (Universidad Complutense de Madrid, Instituto de Matemática Interdisiplinar and Dpto. de Matemática Aplicada)

  • Abdelmalek Drici

    (Université Pierre et Marie Curie (Paris 6), UMR 7598 Laboratoire Jacques-Louis Lions)

  • Tommaso Mingazzini

    (Universidad Complutense de Madrid, Dpto. de Matemática Aplicada)

Abstract

The authors prove the global null controllability for the 1-dimensional nonlinear slow diffusion equation by using both a boundary and an internal control. They assume that the internal control is only time dependent. The proof relies on the return method in combination with some local controllability results for nondegenerate equations and rescaling techniques.

Suggested Citation

  • Jean-Michel Coron & Jesús Ildefonso Díaz & Abdelmalek Drici & Tommaso Mingazzini, 2014. "Global Null Controllability of the 1-Dimensional Nonlinear Slow Diffusion Equation," Springer Books, in: Philippe G. Ciarlet & Tatsien Li & Yvon Maday (ed.), Partial Differential Equations: Theory, Control and Approximation, edition 127, pages 211-224, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-41401-5_8
    DOI: 10.1007/978-3-642-41401-5_8
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