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arXiv · 2004.00143

Controllability of degenerate parabolic equation with memory

Brahim Allal·Genni Fragnelli
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Abstract

In this paper, we analyze the null controllability property for a degenerate parabolic equation involving memory terms with a locally distributed control. We first derive a null controllability result for a nonhomogeneous degenerate heat equation via new Carleman estimates with weighted time functions that do not blow up at t= 0. Then this result is successfully used with a classical fixed point to obtain null controllability for the initial memory system.

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Brahim Allal, Genni Fragnelli. 2020-03-31. Controllability of degenerate parabolic equation with memory. https://doi.org/10.1002/mma.7342

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