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2002, Volume 8, Issue 3: 745-756. Doi: 10.3934/dcds.2002.8.747
This issue Previous Article The general multi-dimensional Riemann problem for hyperbolic systems with real constant coefficients Next Article Existence and long time behaviour of solutions to obstacle thermistor equations

One-sided and internal controllability of semilinear wave equations with infinitely iterated logarithms

  • 1.

    Dipartimento di Matematica, Università di Roma "Tor Vergata", Via della Ricerca Scientifica, 00133 Roma

  • 2.

    Institut de Recherche Mathématique Avancée, Université Louis Pasteur et CNRS, 7, rue René Descartes, 67084 Strasbourg Cedex

  • 3.

    Dipartimento Metodi e Modelli Matematici, per le Scienze Applicate, Università di Roma "La Sapienza", Via A. Scarpa 16, 00161 Roma

Received:  March 31, 2001
Revised:  September 30, 2001
Published:  June 2002
Abstract Related Papers Cited by
    Abstract
  • In two previous works we improved some earlier results of Imanuvilov, Li and Zhang, and of Zuazua on the boundary exact controllability of one-dimensional semilinear wave equations by weakening the growth assumptions on the nonlinearity. Our growth assumption is in a sense optimal. Here we adapt our method for the case of one-sided control actions. This also enables us to obtain rather general internal controllability results.
    Mathematics Subject Classification: 35L05, 35L70, 34A40.

    Citation:
    shu

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