Null controllability for the singular heat equation with a memory term
Author(s)
Date Issued
2021
Type
article
Volume
2021
Issue
14
Start Page
1
End Page
24
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.