| Full text | |
| Author(s): |
Belluzi, Maykel
;
Caraballo, Tomas
;
Nascimento, Marcelo J. D.
;
Schiabel, Karina
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 314, p. 42-pg., 2022-01-24. |
| Abstract | |
In this paper we consider the nonautonomous semilinear parabolic problems with time-dependent linear operators u(t) + A(t)u = f (t, u), t > tau; u(tau) = u(0), in a Banach space X. Under suitable conditions, we obtain regularity results for u(t) (t, x) with respect to its spatial variable x and estimates for u(t) in stronger spaces (X-alpha). We then apply those results to a nonautonomous reaction-diffusion equation (AU) | |
| FAPESP's process: | 17/17502-0 - Upper and lower semicontinuities of attractors for evolution problems with almost sectorial operators |
| Grantee: | Maykel Boldrin Belluzi |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 19/26841-8 - Study of non-autonomous semilinear parabolic and hyperbolic problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/09406-0 - Semilinear evolution problems with almost sectorial operators |
| Grantee: | Maykel Boldrin Belluzi |
| Support Opportunities: | Scholarships in Brazil - Doctorate |