Smoothing effect and large time behavior of solutions to schrödinger equations with nonlinearity of integral type


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83745

Title:	Smoothing effect and large time behavior of solutions to schrödinger equations with nonlinearity of integral type
Authors:	Ozawa, Tohru Browse this author
Authors:	Yamazaki, Yasuko Browse this author
Issue Date:	2003
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	600
Start Page:	1
End Page:	25
Abstract:	We study the smoothing effect in space and asymptotic behavior in time of solutions to the Cauchy problem for the nonlinear Schr¨odinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. A detailed description is given on the phase modification of scattering solutions by taking into account the long range effect of the interaction.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69349
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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