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Exact controllability for semilinear parabolic equations with Neumann boundary conditions

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Abstract

This paper studies the problem of exact boundary controllability of second-order semilinear parabolic equations when the control is under Neumann's boundary conditions. For a nonlinear term with a sublinear growth we prove the global null-controllability and for the superlinear growth case we prove the local exact controllability of the equations.

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Author notes

  1. Dongho Chae, O. Yu. Imanuvilov & Sang Moon Kim

    Present address: Dongho Chae, Sang Moon Kim Department of Mathematics, Seoul National University, 151-742, Seoul, Korea

Authors and Affiliations

  1. Department of Applied Mathematics, Moscow State Forest University, 141000, Mytischi-1, Moscow Region, Russia

    O. Yu. Imanuvilov

Authors
  1. Dongho Chae
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  2. O. Yu. Imanuvilov
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  3. Sang Moon Kim
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Additional information

This research was partially supported by the International Science Foundation and the Government of Russia under grant No. M 76300, GARC-KOSEF and KOSEF (K94073).

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Chae, D., Imanuvilov, O.Y. & Kim, S.M. Exact controllability for semilinear parabolic equations with Neumann boundary conditions. Journal of Dynamical and Control Systems 2, 449–483 (1996). https://doi.org/10.1007/BF02254698

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  • DOI: https://doi.org/10.1007/BF02254698

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