2024-03-29T07:07:46Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690782022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Space-time estimates for null gauge forms and nonlinear Schrdinger equationsOzawa, T.Tsutsumi, Y.410We consider the Cauchy problem for the nonlinear Schrodinger equation in one space dimension with interaction satisfying null gauge condition. We prove the local well-posedness of the problem in the Sobolev space H1l2• The method depends on the nonlinear gauge transformation and on sharp smoothing estimates for the null gauge form.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69078info:doi/10.14943/83474https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69078/1/pre328.pdfHokkaido University Preprint Series in Mathematics3282251996-02-01engpublisher