| Full text | |
| Author(s): |
Belluzi, Maykel
;
Bezerra, Flank D. M.
;
Nascimento, Marcelo J. D.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 21, n. 8, p. 35-pg., 2022-04-22. |
| Abstract | |
In this paper we explore the theory of fractional powers of positive operators, more precisely, we use the Balakrishnan formula to obtain parabolic approximations of (damped) wave equations in bounded smooth domains in R-N. We also explicitly calculate the fractional powers of wave operators in terms of the fractional Laplacian in bounded smooth domains and characterize the spectrum of these operators. (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 |