Non-autonomous approximations governed by the fractional powers of damped wave operators
| dc.contributor.author | Nascimento, Marcelo J. D. | |
| dc.contributor.author | Bezerra, Flank | |
| dc.date.accessioned | 2021-11-29T15:54:19Z | |
| dc.date.available | 2021-11-29T15:54:19Z | |
| dc.date.issued | 2019-05-17 | |
| dc.description.abstract | In this article we study non-autonomous approximations governed by the fractional powers of damped wave operators of order α ∈ (0, 1) subject to Dirichlet boundary conditions in an n-dimensional bounded domain with smooth boundary. We give explicitly expressions for the fractional powers of the wave operator, we compute their resolvent operators and their eigenvalues. Moreover, we study the convergence as α ↗ 1 with rate 1 - α. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Nascimento, M. J. D., & Bezerra, F. D. M. (2019). Non-autonomous approximations governed by the fractional powers of damped wave operators. Electronic Journal of Differential Equations, 2019(72), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14960 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, 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, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Non-autonomous damped wave equations | |
| dc.subject | Fractional powers | |
| dc.subject | Rate of convergence | |
| dc.subject | Eigenvalues | |
| dc.title | Non-autonomous approximations governed by the fractional powers of damped wave operators | |
| dc.type | Article |