Small solutions to nonlinear Schrdinger equations in the Sobolev spaces

Nakamura, M.; Ozawa, T.

Hokkaido University Preprint Series in Mathematics, 1999, 469, 1-26

Permalink : https://doi.org/10.14943/83615

このアイテムのアクセス数:716件（2026-08-17 05:22 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
re469	pdf	1.02 MB	454

アクセス権	open access
DOI	https://doi.org/10.14943/83615
URI	https://hdl.handle.net/2115/69219
タイトル	Small solutions to nonlinear Schrdinger equations in the Sobolev spaces
著者	著者名 Nakamura, M.
著者	著者名 Ozawa, T.
言語	英語
発行日	1999-08-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	469
ページ	1-26
抄録	The local and global well-posedness for the Cauchy problem for a class of nonlinear Schrodinger equations is studied. The global wellposedness of the problem is proved in the Sobolev space H8 = H8(Rn) of fractional order s > n/2 under the following assumptions: (1) Concerning the Cauchy data <p E H8 , II¢; L2 II is relatively small with respect to II¢; jfa II for any fixed a with n/2 < a :=:; s. (2) Concerning the nonlinearity f, f(u) behaves as a conformal power u1+4/n near zero and has an arbitrary growth rate at infinity.
資源タイプ	紀要論文
出版タイプ	Version of Record