Null controllability of coupled systems of degenerate parabolic integro-differential equations
DOI:
https://doi.org/10.58997/ejde.2023.18Abstract
This article concerns the null controllability of a coupled system of two degenerate parabolic integro-differential equations with one locally distributed control force. Since the memory terms do not allow applying the standards Carleman estimates directly, we start by proving a null controllability result for an associated nonhomogeneous degenerate coupled system employing new Carleman estimates with appropriate weight functions. As a consequence, we deduce the null controllability result for the initial memory system by using the Kakutani's fixed point Theorem.
For more information see https://ejde.math.txstate.edu/Volumes/2023/18/abstr.html
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Copyright (c) 2023 Brahim Allal, Genni Fragnelli, Jawad Salhi
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