| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil
[2] Univ Fed Rio de Janeiro, Inst Matemat, Ctr Tecnol, Bloco C, Cidade Univ, BR-21941909 Rio De Janeiro, RJ - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | PORTUGALIAE MATHEMATICA; v. 75, n. 3-4, p. 313-327, 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
The goal of this paper is to construct explicitly the global attractors of semilinear parabolic equations when the reaction term has an oscillating growth. In this case, solution can also grow-up, and hence the attractor is unbounded and induces a flow at infinity. In particular, we construct heteroclinic connections between bounded and/or unbounded hyperbolic equilibria when the reaction term is asymptotically linear. (AU) | |
| FAPESP's process: | 16/04925-7 - Semilinear parabolic PDEs and unbounded attractors |
| Grantee: | Juliana Fernandes da Silva Pimentel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/07882-0 - Einstein constraints and differential equations on the sphere |
| Grantee: | Phillipo Lappicy Lemos Gomes |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |