Boundary value problems for modified Dirac operators in Clifford analysis

Hongfen Yuan
2015 Boundary Value Problems  
In this paper, we discuss two kinds of Riemann type boundary value problems for the operator D λ , where λ is a complex number. Furthermore, we establish the Almansi type expansion for the operator D k λ , where k ∈ N. As applications of the expansion, we investigate the Riemann type boundary value problem and the generalized Riquier problem for the operator D k λ . MSC: 30G35; 45J05
doi:10.1186/s13661-015-0426-1 fatcat:fsciry4zvnahjdmmrt7k3mycy4