Journal of Mathematical Analysis and Applications;
JAN 1 2018.
Citações Web of Science:
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)