On Riemann-Hilbert Problems for Nonhomogeneous Dirac Equations in a Half Space of R m(m > 2)

In this paper, Riemann-Hilbert problems are investigated for nonhomogeneous Dirac equations in the upper half space of R ^m (m ≥ 2) in both the classical and the L ^p sense. For each Riemann-Hilbert problem, the uniqueness and the explicit formula of the solution are obtained. The results presented here supplement those in our earlier paper [19], where the same problems for the homogeneous Dirac equation were studied.