2024-03-28T19:36:29Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/689152022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Remarks on quadratic nonlinear Schrodinger equationsOzawa, Tohru410We consider the global Cauchy problem for the nonlinear Schrodinger equations with quadratic nonlinearities. Concerning a class of nonlinearities which ensures the global existence of solutions, we prove that Klainerman's condition and Hayashi's condition are equivalent. An explicit solution to Strauss' equation is also given.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/68915info:doi/10.14943/83313https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68915/1/pre169.pdfHokkaido University Preprint Series in Mathematics1691191992-11engpublisher