Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8054225 | Applied Mathematics Letters | 2017 | 9 Pages |
Abstract
In this paper, we study the following time fractional Schrödinger equation iα0CDtαu+â³u=λ|u|p,xâRN,tâ[0,T),where 0<α<1, iα denotes the principal value of iα, T>0, λâCâ{0}, p>1, u(t,x) is a complex-valued function, and 0CDtαu denotes Caputo fractional derivative of order α. We prove that the problem admits no global weak solution with suitable initial data when 1
1.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Quanguo Zhang, Hong-Rui Sun, Yaning Li,