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# Global solutions to semirelativistic Hartree equations

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 Title: Global solutions to semirelativistic Hartree equations Authors: Cho, Yonggeun Browse this author Ozawa, Tohru Browse this author Keywords: semirelativistic Hartree equations global existence scattering Coulomb type potentials Issue Date: 2006 Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 813 Start Page: 1 End Page: 12 Abstract: We 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. Type: bulletin (article) URI: http://hdl.handle.net/2115/69621 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics