Boundary value problems associated to a Hermitian Helmholtz equation

Perturbed Dirac Operators and Boundary Value Problems

“…Then the operator M has a unique fixed point. Thus there exists a unique solution to (16). The proof is finished.…”

“…where C is a positive constant mentioned in Theorem 2. Then (16) there exists a unique solution to Riemann type problem (16).…”

“…where φ(y) is a Hölder continuous function to be determined on ∂Ω. Using Lemma 1 and boundary value condition in (16) , the (18) can be reduced to an equivalent singular integral equation for φ,…”

“…The kind of partial differential equations in bounded domains of R 3 and associated to boundary value problems in Clifford analysis have been studied. We refer to [2][3][4]9,10,[16][17][18][19][20][21][22][23][24][25][26][27][28]. Especially, L. Gu, J.…”