| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, Dept Math, IMECC, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
[2] Inst Tecnol Aeronaut, Div Ciencias Fundamentais, Praca Marechal Eduardo Gomes 50, BR-12228900 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 147, n. 10, p. 4329-4341, OCT 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we show the eventual local positivity property for higher-order heat equations (including noninteger order). As a consequence, we give a positive answer for an open problem stated by Barbatis and Gazzola {[}Contemp. Math. 594 (2013)] for polyharmonic heat equations. Moreover, we obtain some polynomial decay properties of solutions. (AU) | |
| FAPESP's process: | 16/16104-8 - PDEs and time-dependent gradient flows in rough spaces |
| Grantee: | Lucas Catão de Freitas Ferreira |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/06209-7 - Higher order partial differential equations |
| Grantee: | Vanderley Alves Ferreira Junior |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |