Stabilization for a degenerate wave equation with drift and potential term with boundary fractional derivative control-Reference-Cited by-同舟云学术

Stabilization for a degenerate wave equation with drift and potential term with boundary fractional derivative control

Published:2024 Issue:8 Volume:32 Page:4926-4953
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Issa Ibtissam¹,Hajjej Zayd²

Affiliation:

1. Dipartimento di Matematica, Università degli studi di Bari Aldo Moro, Via E. Orabona 4, Bari 70125, Italy

2. Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

<p>This paper explores the boundary stabilization of a degenerate wave equation in the non-divergence form, which includes a drift term and a singular potential term. Additionally, we introduce boundary fractional derivative damping at the endpoint where divergence is absent. Using semi-group theory and the multiplier method, we establish polynomial stability, with a decay rate depending upon the order of the fractional derivative.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

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