| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 506, n. 1 FEB 1 2022. |
| Web of Science Citations: | 0 |
| Abstract | |
Our goal is to study fractional powers of a cascade system of partial differential equations. We explicitly calculate the fractional powers of linear operators associated to this type of system and we discuss local solvability of the fractional equation with subcritical nonlinearity. As an example, a cascade system of Schrodinger equation is analyzed. A connection between the fractional system and the original system is established and we prove the convergence of the linear semigroups obtained by the fractional power operator to the original linear semigroup, as the power alpha approaches 1. (c) 2021 Elsevier Inc. All rights reserved. (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 |