Modified Strichartz estimates with an application to the critical nonlinear Schrodinger equation

Nonlinear Analysis : Theory, Methods & Applications Volume 130 Page 138-156 published_at 2016-01
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Title
Modified Strichartz estimates with an application to the critical nonlinear Schrodinger equation
Creator
Nakamura Makoto
Source Title
Nonlinear Analysis : Theory, Methods & Applications
Volume 130
Start Page 138
End Page 156
Journal Identifire
ISSN 0362546X
Descriptions
The Cauchy problem for the critical nonlinear Schrodinger equation is considered in the Sobolev space of fractional order. Some modified Strichartz estimates are constructed and applied to the problem to obtain small global solutions with less regularity assumption for the nonlinear term.
Subjects
Nonlinear Schrodinger equation ( Other)
Strichartz estimate ( Other)
Cauchy problem ( Other)
Sobolev space ( Other)
Language
eng
Resource Type journal article
Publisher
Elsevier
Date of Issued 2016-01
Rights
Elsevier
Publish Type Accepted Manuscript
Access Rights open access
Relation
[DOI] 10.1016/j.na.2015.09.023
[NCID] AA00757060