2024-03-28T14:29:57Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696212022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Global solutions to semirelativistic Hartree equationsCho, YonggeunOzawa, Tohruopen accesssemirelativistic Hartree equationsglobal existencescatteringCoulomb type potentials410We consider initial value problems for the semirelativistic Hartree equations with cubic convolution nonlinearity $F(u) = (V * |u|^2)u$. Here $V$ is a sum of two Coulomb type potentials. Under a specified decay condition and a symmetric condition for the potential $V$ we show the global existence and scattering of solutions.Department of Mathematics, Hokkaido University2006engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83963http://hdl.handle.net/2115/6962110.14943/83963Hokkaido University Preprint Series in Mathematics813112https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69621/1/pre813.pdfapplication/pdf215.84 KB2006