Null controllability for the singular heat equation with a memory term
Analysis of PDEs
2020-05-12 v1 Optimization and Control
Abstract
In this paper we focus on the null controllability problem for the heat equation with the so-called inverse square potential and a memory term. To this aim, we first establish the null controllability for a nonhomogeneous singular heat equation by a new Carleman inequality with weights which do not blow up at t=0. Then the null controllability property is proved for the singular heat equation with memory under a condition on the kernel, by means of Kakutani's fixed-point Theorem.
Keywords
Cite
@article{arxiv.2005.04442,
title = {Null controllability for the singular heat equation with a memory term},
author = {Brahim Allal and Genni Fragnelli and Jawad Salhi},
journal= {arXiv preprint arXiv:2005.04442},
year = {2020}
}
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22 pages