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arXiv · 2103.14058

Null controllability for degenerate parabolic equations with a nonlocal space term

B. Allal·G. Fragnelli·J. Salhi
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Abstract

We consider two degenerate heat equations with a nonlocal space term, studying, in particular, their null controllability property. To this aim, we first consider the associated nonhomogeneous degenerate heat equations: we study their well posedness, the Carleman estimates for the associated adjoint problems and, finally, the null controllability. Then, as a consequence, using the Kakutani's fixed point Theorem, we deduce the null controllability property for the initial nonlocal problems.

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B. Allal, G. Fragnelli, J. Salhi. 2021-03-25. Null controllability for degenerate parabolic equations with a nonlocal space term. https://doi.org/10.1002/mma.9190

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