On the Cauchy Problem for Schrödinger-improved Boussinesq equations


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83890

Title:	On the Cauchy Problem for Schrödinger-improved Boussinesq equations
Authors:	Ozawa, Tohru Browse this author
Authors:	Tsutaya, Kimitoshi Browse this author
Issue Date:	2005
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	740
Start Page:	1
End Page:	12
Abstract:	The Cauchy problem for a coupled system of Schr\"odinger and improved Boussinesq equations is studied. Local well-posedness is proved in $L^2(\R^n)$ for $n\le 3$. Global well-posedness is proved in the energy space for $n\le 2$. Under smallness assumption on the Cauchy data, the local result in $L^2$ is proved for $n=4$.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69548
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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