| Full text | |
| Author(s): |
da Silva, Priscila Leal
;
Freire, Igor Leite
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 320, p. 28-pg., 2022-05-25. |
| Abstract | |
We consider a family of non-local evolution equations including the 0-Holm-Staley equation. We show that the family considered does not possess compactly supported solutions as long as the initial data is non-trivial. Also, we prove different unique continuation results for the solutions of the family studied. Persistence properties of the solutions are also investigated as well as we describe the scenario for the global existence of solutions of the 0-Holm-Staley equation. In particular, the proof of global existence of solutions as well as our demonstrations for unique continuation results of solutions partially answers som-equestions pointed out in Himonas and Thompson (2014) [19]. (C) 2022 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 19/23688-4 - Properties for solutions of evolution equations |
| Grantee: | Priscila Leal da Silva |
| Support Opportunities: | Regular Research Grants |