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Seminars

Seminar
FIELD Mathematics
DATE October 29 (Mon), 2018
TIME 16:00-17:00
PLACE 1423
SPEAKER Yang, Changhun
HOST Choe, Jaigyoung
INSTITUTE KIAS
TITLE The low regularity problem for the Dirac Hartree-type equation
ABSTRACT In this talk, we consider the low regularity problem for the Dirac Hartree-type equation. We discuss the well-posedness and the scattering result of the equation if an initial data is sufficiently small in the Sobolev spaces. After we diagonalize the equation into a system, the main result follows from the standard contraction mapping argument on properly adapted function spaces. The ingredients of proof consist of the localized Strichartz estimates and Bilinear estimates obtained from the Harmonic analysis tool, and the null-structure exhibited in the nonlinear term.
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