Global, small radially symmetric solutions to nonlinear Schrdinger equations and a gauge transformation

Hayashi, N.; Ozawa, T.

Hokkaido University Preprint Series in Mathematics, 1994, 227, 1-16

Permalink : https://doi.org/10.14943/83374

このアイテムのアクセス数:786件（2026-10-06 22:42 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
re227	pdf	599 KB	391

アクセス権	open access
DOI	https://doi.org/10.14943/83374
URI	https://hdl.handle.net/2115/68978
タイトル	Global, small radially symmetric solutions to nonlinear Schrdinger equations and a gauge transformation
著者	著者名 Hayashi, N.
著者	著者名 Ozawa, T.
言語	英語
発行日	1994-01-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	227
ページ	1-16
抄録	This paper proves the global existence of small radially symmetric solutions to the nonlinear Schrodinger equations of the form { i8,u + ½.6.u = F(u, Vu, ii, Vu), (t, :z:) nE 􀀇 x 􀀇n, u(O, :z:) = eo¢(1:z:I), :z: E 􀀇 , where n >= 3, eo is sufficiently small, l:z:I = ( E :z:])1 12 , L >-au°'lu°'2 lo$lal91 +L >.a13u°'lu°'2( L l8;ul2)131( L (8;u)2)132 with >.a,>..013 E C, l1,l2,l3 E N, lo = 3 for n = 3,4, and lo = 2 for n 􀀠 5. The method depends on the combination of a gauge transformation and generalized energy estimtes and does not require the condition such that 8vu F is pure imaginary which is needed for the classical energy method.
資源タイプ	紀要論文
出版タイプ	Version of Record