Abstract: There are N domains D_j(j=0,1,...,N-1) of different physical parameters in the whole space and their interfaces S_j,i+1 are non-horizontally smooth curved surfaces. The following boundary problem is called Hclinholiz boundary problem:
V²H⁽¹⁾+K_jH⁽¹⁾=0 (j=0,1,…,N-1)
(H⁽⁰⁾-H⁽¹⁾)=δ(S) (δ(S):generalized function)
(H¹-Hⁱ⁺¹)=0 (j=0,1,…,N-2)
The analytical solution of the above problem is given in this paper.