Short-range scattering of Hartree type fractional NLS II

Yonggeun Cho; Tohru Ozawa

doi:10.1016/j.na.2017.03.005

Short-range scattering of Hartree type fractional NLS II

Yonggeun Cho^*
, Tohru Ozawa

^*Corresponding author for this work

Department of Mathematics

Waseda University

Research output: Contribution to journal › Journal article › peer-review

6 Scopus citations

Abstract

We prove the small data scattering for Hartree type fractional Schrödinger equation with inverse square potential. This is the border line problem between Strichartz range and weighted space range in view of the method of approach. To show this we carry out a subtle trilinear estimate via fractional Leibniz rule and Balakrishnan's formula. This paper is a sequel of the previous result (Cho, 2017).

Original language	English
Pages (from-to)	62-75
Number of pages	14
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	157
DOIs	https://doi.org/10.1016/j.na.2017.03.005
State	Published - 2017.07.1

Keywords

Hartree type fractional NLS
Inverse square potential
Short-range interaction
Small data scattering

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1016/j.na.2017.03.005

Cite this

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title = "Short-range scattering of Hartree type fractional NLS II",

abstract = "We prove the small data scattering for Hartree type fractional Schr{\"o}dinger equation with inverse square potential. This is the border line problem between Strichartz range and weighted space range in view of the method of approach. To show this we carry out a subtle trilinear estimate via fractional Leibniz rule and Balakrishnan's formula. This paper is a sequel of the previous result (Cho, 2017).",

keywords = "Hartree type fractional NLS, Inverse square potential, Short-range interaction, Small data scattering",

author = "Yonggeun Cho and Tohru Ozawa",

note = "Publisher Copyright: {\textcopyright} 2017",

year = "2017",

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day = "1",

doi = "10.1016/j.na.2017.03.005",

language = "English",

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T1 - Short-range scattering of Hartree type fractional NLS II

AU - Cho, Yonggeun

AU - Ozawa, Tohru

PY - 2017/7/1

Y1 - 2017/7/1

N2 - We prove the small data scattering for Hartree type fractional Schrödinger equation with inverse square potential. This is the border line problem between Strichartz range and weighted space range in view of the method of approach. To show this we carry out a subtle trilinear estimate via fractional Leibniz rule and Balakrishnan's formula. This paper is a sequel of the previous result (Cho, 2017).

AB - We prove the small data scattering for Hartree type fractional Schrödinger equation with inverse square potential. This is the border line problem between Strichartz range and weighted space range in view of the method of approach. To show this we carry out a subtle trilinear estimate via fractional Leibniz rule and Balakrishnan's formula. This paper is a sequel of the previous result (Cho, 2017).

KW - Hartree type fractional NLS

KW - Inverse square potential

KW - Short-range interaction

KW - Small data scattering

UR - https://www.scopus.com/pages/publications/85017120946

U2 - 10.1016/j.na.2017.03.005

DO - 10.1016/j.na.2017.03.005

M3 - Journal article

AN - SCOPUS:85017120946

SN - 0362-546X

VL - 157

SP - 62

EP - 75

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

Short-range scattering of Hartree type fractional NLS II

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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