On convexity for energy decay rates of a viscoelastic equation with boundary feedback |
| |
| Authors: | Salim A. Messaoudi Muhammad I. Mustafa |
| |
| Affiliation: | 1. King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics, Dhahran 31261, Saudi Arabia;2. Mathematics Department, Prince Sultan University, P.O. Box 66833, Riyad 11586, Saudi Arabia |
| |
| Abstract: | In this paper we consider a viscoelastic equation with a nonlinear feedback localized on a part of the boundary. We establish an explicit and general decay rate result, using some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term and strongly weakening the usual assumptions on the relaxation function. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
