2024-03-28T18:55:19Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696362022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Remarks on the relativistic Hartree equationsCho, YonggeunOzawa, TohruSasaki, HironobuShim, Yong-sunrelativistic Hartree type equationsglobal well-posednessscatteringradial solutions410We study the global well-posedness (GWP) and small data scattering of radial solutions of the relativistic Hartree type equations with nonlocal nonlinearity F(u) = ¸(j ¢ j¡° ¤ juj2)u, ¸ 2 R n f0g, 0 < ° < n, n ¸ 3. We establish a weighted L2 Strichartz estimate applicable to non-radial functions and some fractional integral estimates for radial functions.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69636info:doi/10.14943/83977https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69636/1/pre827.pdfHokkaido University Preprint Series in Mathematics8271192007engpublisher