| Full text | |
| Author(s): |
Belluzi, Maykel
;
Bezerra, Flank D. M.
;
Nascimento, Marcelo J. D.
;
Santos, Lucas A.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 55, n. 1, p. 17-pg., 2024-03-01. |
| Abstract | |
In this paper, we study results of well-posedness and regularity of higher order in time abstract non-autonomous semilinear Cauchy problems associated with Newton's binomial theorem and the theory of sectorial operators. Our approach to parabolic problems of arbitrarily order n apparently has never been addressed earlier in the existing literature. Also, we present applications to evolutionary equations involving the fractional Laplacian in bounded smooth domains of R-N (AU) | |
| FAPESP's process: | 22/01439-5 - Fractional powers of matrix linear operators and fractional approximations of semilinear problems |
| Grantee: | Maykel Boldrin Belluzi |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 20/14075-6 - Dynamical systems and their attractors under perturbations |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 22/16305-4 - Long-time dynamics of semilinear problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |