| Full text | |
| Author(s): |
Freire, Igor Leite
Total Authors: 1
|
| Document type: | Journal article |
| Source: | DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS; v. 20, n. 3, p. 17-pg., 2023-01-01. |
| Abstract | |
. Unique continuation properties for a class of evolution equations defined on Banach spaces are considered from two different point of views: the first one is based on the existence of conserved quantities, which very often translates into the conservation of some norm of the solutions in a suitable Banach space. The second one considers well-posed problems. Our results are then applied to some equations, most of them describing physical processes like wave propagation, hydrodynamics, and integrable systems, such as the potential and pi-Camassa-Holm; generalised Boussinesq equations; and the modified Euler-Poisson system. (AU) | |
| FAPESP's process: | 20/02055-0 - Novikov equations with quadratic non-linearities: structural and qualitative properties |
| Grantee: | Igor Leite Freire |
| Support Opportunities: | Regular Research Grants |