| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Dept Comp & Matemat, FFCLRP, Ave Bandeirantes 3900, Campus USP, BR-14040901 Ribeirao Preto, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 39, n. 10, p. 2558-2582, JUL 2016. |
| Web of Science Citations: | 10 |
| Abstract | |
In this paper, we study the asymptotic profile of the solution for a sigma-evolution equation with a time-dependent structural damping. We introduce a classification of the damping term, which clarifies whether the solution behaves like the solution to an anomalous diffusion problem. We call this damping effective, whereas we say that the damping is noneffective when the solution shows oscillations in its asymptotic profile that cannot be neglected. Our classification shows a completely new interplay between the strength of the damping and the long time behavior of its coefficient. Copyright (c) 2015 John Wiley \& Sons, Ltd. (AU) | |
| FAPESP's process: | 13/15140-2 - Decay estimates for semilinear hyperbolic equations |
| Grantee: | Marcello Dabbicco |
| Support Opportunities: | Research Grants - Young Investigators Grants |
| FAPESP's process: | 13/20297-8 - Decay estimates for hyperbolic partial differential equations in the L^p-L^q framework |
| Grantee: | Marcelo Rempel Ebert |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 14/02713-7 - Decay estimates for semilinear hyperbolic equations |
| Grantee: | Marcello Dabbicco |
| Support Opportunities: | Scholarships in Brazil - Young Researchers |