2024-03-29T06:22:54Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/693562022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equationMachihara, ShujiNakamura, MakotoNakanishi, KenjiOzawa, Tohruopen access410We prove endpoint Strichartz estimates for the Klein-Gordon and wave equations in mixed norms on the polar coordinates in three spatial dimensions. As an application, global wellposedness of the nonlinear Dirac equation is shown for small data in the energy class with some regularity assumption for the angular variable.Department of Mathematics, Hokkaido University2003engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83752http://hdl.handle.net/2115/6935610.14943/83752Hokkaido University Preprint Series in Mathematics607117https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69356/1/pre607.pdfapplication/pdf234.8 KB2003