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Hokkaido University Preprint Series in Mathematics >
Scattering theory for the Hartree equation
| Title: | Scattering theory for the Hartree equation |
| Authors: | Hayashi, N. Browse this author | | Naumkin,P.I Browse this author | | Ozawa, T. Browse this author |
| Issue Date: | 1-Nov-1996 |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 358 |
| Start Page: | 1 |
| End Page: | 14 |
| Abstract: | We study the scattering problem for the Hartree equation X { u(i&tu 0,x) = = -(1/uo(x), 2)u + x JE (Rluln2. )u, (t,x) ER where J(lul2) = V * lul2 , V(x) = ..\lxl- A ER, n 2: 2. We prove that for any U0 E H0,'Hr with 1/2 < r < n/2 1 such that the value e = ||U0||0,r+||U0||, is sufficiently small, there exists unique U +- < H0 ^ H0 with 1/2 < 0 < γ , such that for all |t| >= 1 U(t) is the free Schrodinger evolution group and Hm,s is the weighted Sobolev space defined by Hm |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69108 |
| 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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