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Null boundary controllability for semilinear heat equations

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Abstract

We consider null boundary controllability for one-dimensional semilinear heat equations. We obtain null boundary controllability results for semilinear equations when the initial data is bounded continuous and sufficiently small. In this work we also prove a version of the nonlinear Cauchy-Kowalevski theorem.

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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, 206 Church Street SE, 55455-0487, Minneapolis, MN, USA

    Yung-Jen Lin Guo & W. Littman

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  1. Yung-Jen Lin Guo
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  2. W. Littman
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Communicated by R. Triggiani

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Lin Guo, YJ., Littman, W. Null boundary controllability for semilinear heat equations. Appl Math Optim 32, 281–316 (1995). https://doi.org/10.1007/BF01187903

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