Energy decay for solutions to semilinear systems of elastic waves in exterior domains
| dc.contributor.author | Ferreira, Marcio V. | |
| dc.contributor.author | Menzala, Gustavo P. | |
| dc.date.accessioned | 2021-07-16T19:46:50Z | |
| dc.date.available | 2021-07-16T19:46:50Z | |
| dc.date.issued | 2006-05-22 | |
| dc.description.abstract | We consider the dynamical system of elasticity in the exterior of a bounded open domain in 3-D with smooth boundary. We prove that under the effect of "weak" dissipation, the total energy decays at a uniform rate as t → +∞, provided the initial data is "small" at infinity. No assumptions on the geometry of the obstacle are required. The results are then applied to a semilinear problem proving global existence and decay for small initial data. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ferreira, M. V., & Menzala, G. P. (2006). Energy decay for solutions to semilinear systems of elastic waves in exterior domains. <i>Electronic Journal of Differential Equations, 2006</i>(65), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13938 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Uniform stabilization | |
| dc.subject | Exterior domain | |
| dc.subject | System of elastic waves | |
| dc.subject | Semilinear problem | |
| dc.title | Energy decay for solutions to semilinear systems of elastic waves in exterior domains | |
| dc.type | Article |