2024-03-29T04:48:23Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/691112022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Low energy scattering for nonlinear Schrdinger equations in fractional order Sobolev spacesNakamura, M.Ozawa, T.410We consider the scattering problem for the nonlinear Schrodinger equations with interactions behaving as a. power p at zero. In the critical and subcritical cases (s >_ n/2 - 2/(p - 1) >_ 0), we prove the existence and asymptotic completeness of wa.ve operators in the sense of Sobolev norm of orders on a set of asymptotic states with small homogeneous norm of order n/2 - 2/(p - 1) in space dimension n >_ 1.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69111info:doi/10.14943/83507https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69111/1/pre361.pdfHokkaido University Preprint Series in Mathematics3611171996-11-01engpublisher