Mixed norm estimates of Schrödinger waves and their applications

Myeongju Chae; Yonggeun Cho; Sanghyuk Lee

doi:10.1080/03605300903376884

Mixed norm estimates of Schrödinger waves and their applications

Myeongju Chae
, Yonggeun Cho
, Sanghyuk Lee^*

^*Corresponding author for this work

Department of Mathematics

Hankyong National University
Seoul National University

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

4 Scopus citations

Abstract

In this paper we establish mixed norm estimates of interactive Schrödinger waves and apply them to study smoothing properties and global well-posedness of the nonlinear Schrödinger equations with mass critical nonlinearity.

Original language	English
Pages (from-to)	906-943
Number of pages	38
Journal	Communications in Partial Differential Equations
Volume	35
Issue number	5
DOIs	https://doi.org/10.1080/03605300903376884
State	Published - 2010.05

Keywords

Global well-posedness
Interactive schrödinger waves
Mass critical nonlinearity
Mixed norm estimates
Smoothing property

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1080/03605300903376884

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title = "Mixed norm estimates of Schr{\"o}dinger waves and their applications",

abstract = "In this paper we establish mixed norm estimates of interactive Schr{\"o}dinger waves and apply them to study smoothing properties and global well-posedness of the nonlinear Schr{\"o}dinger equations with mass critical nonlinearity.",

keywords = "Global well-posedness, Interactive schr{\"o}dinger waves, Mass critical nonlinearity, Mixed norm estimates, Smoothing property",

author = "Myeongju Chae and Yonggeun Cho and Sanghyuk Lee",

year = "2010",

month = may,

doi = "10.1080/03605300903376884",

language = "English",

volume = "35",

pages = "906--943",

journal = "Communications in Partial Differential Equations",

issn = "0360-5302",

number = "5",

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TY - JOUR

T1 - Mixed norm estimates of Schrödinger waves and their applications

AU - Chae, Myeongju

AU - Cho, Yonggeun

AU - Lee, Sanghyuk

PY - 2010/5

Y1 - 2010/5

N2 - In this paper we establish mixed norm estimates of interactive Schrödinger waves and apply them to study smoothing properties and global well-posedness of the nonlinear Schrödinger equations with mass critical nonlinearity.

AB - In this paper we establish mixed norm estimates of interactive Schrödinger waves and apply them to study smoothing properties and global well-posedness of the nonlinear Schrödinger equations with mass critical nonlinearity.

KW - Global well-posedness

KW - Interactive schrödinger waves

KW - Mass critical nonlinearity

KW - Mixed norm estimates

KW - Smoothing property

UR - https://www.scopus.com/pages/publications/77950951083

U2 - 10.1080/03605300903376884

DO - 10.1080/03605300903376884

M3 - Journal article

AN - SCOPUS:77950951083

SN - 0360-5302

VL - 35

SP - 906

EP - 943

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 5

ER -

Mixed norm estimates of Schrödinger waves and their applications

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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