Nonlinear Schrdinger equations in the Sobolev space of critical order


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83515

Title:	Nonlinear Schrdinger equations in the Sobolev space of critical order
Authors:	Nakamura, M. Browse this author
Authors:	Ozawa, T. Browse this author
Issue Date:	1-Jan-1997
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	369
Start Page:	1
End Page:	20
Abstract:	The Cauchy problem for the nonlinear Schrodinger equations is considered in the Sobolev space Hnf2(Rn) of critical order n/2, where the embedding into L00(Rn) breaks down and any power behavior of interaction works as a subcritical nonlinearity. Under the interaction of exponential type the existence and uniqueness is proved for global Hn/2-solutions with small Cauchy data.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69119
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

OAI-PMH ( junii2 , jpcoar_1.0 )

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