Controllability of degenerate parabolic equation with memory
Optimization and Control
2021-07-07 v2 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2004.00143,
title = {Controllability of degenerate parabolic equation with memory},
author = {Brahim Allal and Genni Fragnelli},
journal= {arXiv preprint arXiv:2004.00143},
year = {2021}
}
Comments
29 pages