Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping
| dc.contributor.author | Berrimi, Said | |
| dc.contributor.author | Messaoudi, Salim A. | |
| dc.date.accessioned | 2021-04-26T16:36:37Z | |
| dc.date.available | 2021-04-26T16:36:37Z | |
| dc.date.issued | 2004-06-29 | |
| dc.description.abstract | In this paper we consider the nonlinear viscoelastic equation utt - ∆u + ∫t0 g(t - τ) ∆u(τ) dτ + α(x)|ut|m ut + b|u|γu = 0, in a bounded domain. Without imposing geometry restrictions on the boundary, we establish an exponential decay result, under weaker conditions than those in [3]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Berrimi, S., & Messaoudi, S. A. (2004). Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping. <i>Electronic Journal of Differential Equations, 2004</i>(88), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13442 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Exponential decay | |
| dc.subject | Global existence | |
| dc.subject | Nonlinear localized damping | |
| dc.title | Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping | |
| dc.type | Article |