Null controllability for degenerate parabolic equations with a nonlocal space term
Analysis of PDEs
2023-07-26 v1
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.
Keywords
Cite
@article{arxiv.2103.14058,
title = {Null controllability for degenerate parabolic equations with a nonlocal space term},
author = {B. Allal and G. Fragnelli and J. Salhi},
journal= {arXiv preprint arXiv:2103.14058},
year = {2023}
}