2024-03-28T23:24:56Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/694612022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Space-time L^2-estimates and life-span of the Klainerman-Machedon radial solutions to some semi-linear wave equationsHidano, KunioYokoyama, Kazuyoshisemi-linear wave equationslow-regularitylife-span410We consider the Cauchy problem for some semi-linear wave equations in three space dimensions and prove global or almost global existence of the Klainerman-Machedon radial solutions. The proof is carried out by a contraction-mapping argument based on a refined version of the Keel-Smith-Sogge estimate, together with the Morawetz-type inequality.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69461info:doi/10.14943/83807https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69461/1/pre655.pdfHokkaido University Preprint Series in Mathematics6551212004engpublisher