| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Dept Comp & Math FFCLRP, Av Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP - Brazil
[2] Fed Univ Rio Grande do Sul UFRGS, Dept Pure & Appl Math IME, Agron, Av Bento Goncalves 9500-43-111, BR-91509900 Porto Alegre, RS - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Advances in Differential Equations; v. 23, n. 11-12, p. 847-888, NOV-DEC 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper, we study the long time behavior of energy solutions for a class of wave equation with time-dependent potential and speed of propagation. We introduce a classification of the potential term, which clarifies whether the solution behaves like the solution to the wave equation or Klein-Gordon equation. Moreover, the derived linear estimates are applied to obtain global (in time) small data energy solutions for the Cauchy problem to semilinear Klein-Gordon models with power nonlinearity. (AU) | |
| FAPESP's process: | 15/23253-7 - Wave equations with time-dependent speed of propagation, mass and dissipation. |
| Grantee: | Wanderley Nunes Do Nascimento |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 17/19497-3 - Asymptotic profile of solutions for some evolution partial differential equations and applications |
| Grantee: | Marcelo Rempel Ebert |
| Support Opportunities: | Regular Research Grants |