Wave Seminar Global existence and asymptotic behavior of solutions of the Dirac equation of Hartree type

2006-10-24 16:30 - 2006-10-24 17:30
Faculty of Science Building #3 Room 311
Kimitoshi Tsutaya (Hokkaido University)
In this talk we discuss the Cauchy problem for the Dirac equation ofHartree type. We show the global existence and asymptotic behavior ofsolutions of the problem with small initial data in the subcriticalSobolev space $H^s$ with $s> s_c$, where $s_c$ is the critical Sobolevexponent given by the scaling argument.This is joint work with S. Machihara (Shimane University).