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2010, Volume 14, Issue 4: 1293-1311. Doi: 10.3934/dcdsb.2010.14.1293
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Multiplicative controllability for reaction-diffusion equations with target states admitting finitely many changes of sign

  • 1.

    Department of Mathematics, University of Rome "Tor Vergata", 00133 Rome

  • 2.

    Department of Mathematics, Washington State University, Pullman, WA 99164-3113

Received:  August 2009
Revised:  March 2010
Published:  June 2010
Abstract Related Papers Cited by
    Abstract
  • We study the global approximate controllability properties of a one dimensional reaction-diffusion equation governed via the coefficient of the reaction term. The traditional (linear operator) controllability methods based on the duality pairing do not apply to such a problem. Instead, we focus on the qualitative study of the diffusion and reaction parts of the evolution process at hand. We consider the case when both the initial and target states admit no more than finitely many changes of sign.
    Mathematics Subject Classification: Primary: 93C20; Secondary: 35K10, 93B05.

    Citation:
    shu

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