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Null Controllability for the Dissipative Semilinear Heat Equation

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Abstract. We consider the exact null controllability problem for the semi- linear heat equation with dissipative nonlinearity in a bounded domain of Rn . The main result of the article asserts that if the nonlinearity is even mildly superlinear, then global null controllability in an arbitrarily short time fails; instead we provide sharp estimates for the controllability time in terms of the size of the initial data.

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Authors and Affiliations

  1. Facultatea de Mathematica, Universitatea ``Al.I.Cuza'', Iasi, Romania , , , , , , RO

    Sebastian Aniţa

  2. Department of Mathematics, University of California, Berkeley, CA 94720, USA tataru@math.berkeley.edu, , , , , , US

    Daniel Tataru

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  1. Sebastian Aniţa
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  2. Daniel Tataru
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Sebastian Aniţa, ., Daniel Tataru, . Null Controllability for the Dissipative Semilinear Heat Equation . Appl Math Optim 46, 97–105 (2002). https://doi.org/10.1007/s00245-002-0746-2

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  • DOI: https://doi.org/10.1007/s00245-002-0746-2

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