Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609229 | Journal of Differential Equations | 2017 | 29 Pages |
Abstract
In this paper we consider scattering problem for Hartree type fractional NLS with |∇|α|∇|α (1<α<21<α<2) and potential V∼|x|−γV∼|x|−γ. We show small data scattering in a weighted space for the short range 6−2α4−α<γ<2. The difficulty arises from the non-locality and non-smoothness of |∇|α|∇|α. To overcome it we utilize the method of commutator estimate based on Balakrishnan's formula.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yonggeun Cho,