| Full text | |
| Author(s): |
Bezerra, Flank D. M.
[1, 2]
;
Carvalho, Alexandre N.
[3]
;
Dlotko, Tomasz
[4]
;
Nascimento, Marcelo J. D.
[5]
Total Authors: 4
|
| Affiliation: | [1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[4] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00656 Warsaw - Poland
[5] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 457, n. 1, p. 336-360, JAN 1 2018. |
| Web of Science Citations: | 2 |
| Abstract | |
We consider the Dirichlet boundary problem for semilinear fractional Schrodinger equation with subcritical nonlinear term. Local and global in time solvability and regularity properties of solutions are discussed. But our main task is to describe the connections of the fractional equation with the classical nonlinear Schrodinger equation, including convergence of the linear semigroups and continuity of the nonlinear semigroups when the fractional exponent a approaches 1. (c) 2017 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 14/03686-3 - The dynamics of evolution equations governed by fractional powers of closed operators |
| Grantee: | Flank David Morais Bezerra |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 13/10341-0 - Differential equations with fractional derivatives and their applications |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 03/10042-0 - Nonlinear dynamical systems and applications |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | PRONEX Research - Thematic Grants |