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

Ozawa, Tohru; Yamazaki, Yasuko

Hokkaido University Preprint Series in Mathematics, 2003, 600, 1-25

Permalink : https://doi.org/10.14943/83745

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DOI	https://doi.org/10.14943/83745
URI	https://hdl.handle.net/2115/69349
タイトル	Smoothing effect and large time behavior of solutions to schrödinger equations with nonlinearity of integral type
著者	著者名 Ozawa, Tohru
著者	著者名 Yamazaki, Yasuko
言語	英語
発行日	2003
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	600
ページ	1-25
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record