Attractors for fully nonlinear parabolic equations and non-autonomous equations
Dynamics of autonomous and nonautonomous semilinear problems
| Full text | |
| Author(s): |
Lappicy, Phillipo
Total Authors: 1
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| Document type: | Journal article |
| Source: | REVISTA MATEMATICA COMPLUTENSE; v. N/A, p. 23-pg., 2022-08-03. |
| Abstract | |
We explicitly construct global attractors of fully nonlinear parabolic equations in one spatial dimension. These attractors are decomposed as equilibria (time independent solutions) and heteroclinic orbits (solutions that converge to distinct equilibria backwards and forwards in time). In particular, we state necessary and sufficient conditions for the occurrence of heteroclinics between hyperbolic equilibria, which is accompanied by a method that computes such conditions. (AU) | |
| FAPESP's process: | 18/18703-1 - Attractors for fully nonlinear parabolic equations and non-autonomous equations |
| Grantee: | Phillipo Lappicy Lemos Gomes |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| 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 |