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Global, small radially symmetric solutions to nonlinear Schrdinger equations and a gauge transformation
| Title: | Global, small radially symmetric solutions to nonlinear Schrdinger equations and a gauge transformation |
| Authors: | Hayashi, N. Browse this author | | Ozawa, T. Browse this author |
| Issue Date: | 1-Jan-1994 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 227 |
| Start Page: | 1 |
| End Page: | 16 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68978 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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