2022-05-18T20:42:51Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690552018-04-25T23:44:05Zhdl_2115_45007hdl_2115_116On the nonlinear Schrdinger equations of derivative typeOzawa, T.410This paper studies the Cauchy problem both at finite and infinite times for a class of nonlinear Schrodinger equations with coupling of derivative type. The proof uses gauge transformations which reduce the original equations to systems of equations without coupling of derivative type. Concerning the Cauchy problem at finite times, we give sufficient conditions for the global well-posedness in the energy space. Concerning the Cauchy problem at infinity, we construct modified wave operators on small and sufficiently· regular asymptotic states.Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69055info:doi/10.14943/83451https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69055/1/pre304.pdfHokkaido University Preprint Series in Mathematics3041271995-07-01engpublisher