A Boundary Value Problem for Hermitian Monogenic Functions
نویسندگان
چکیده
Hermitian Clifford analysis deals with the simultaneous null solutions of the orthogonal Dirac operators ∂x and its twisted counterpart ∂x|, introduced below. For a thorough treatment of this higher-dimensional function theory, we refer the reader to, for example, 1–5 . Let e1, . . . , e2n be an orthonormal basis of the Euclidean space R2n. Consider the complex Clifford algebra C2n constructed over R2n. The noncommutative multiplication in C2n is governed by e2 j −1, j 1, . . . , 2n, ejek ekej 0, 1 ≤ j / k ≤ 2n. 1.1
منابع مشابه
Analysis of Linear Two-Dimensional Equations by Hermitian Meshfree Collocation Method
Meshfree Collocation Method is used to solve linear two-dimensional problems. This method differs from weak form methods such as Galerkin method and no cellular networking and no numerical integration. Therefore, this method has no constraints such as the integration accuracy and the integration CPU time, and equations can be isolated directly from the strong form of governing PDE. The fundame...
متن کاملEigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions
In this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. Also, we obtain formal series solutions for some partial differential equations associated with the second order differential equation, and study necessary and sufficient conditions for the negative and positive eigenvalues of the boundary value problem....
متن کاملFundamental Steady state Solution for the Transversely Isotropic Half Space
Response of a transversely isotropic 3-D half-space subjected to a surface time-harmonic excitation is presented in analytical form. The derivation of the fundamental solutions expressed in terms of displacements is based on the prefect series of displacement potential functions that have been obtained in the companion paper by the authors. First the governing equations are uncoupled in the cyl...
متن کاملAn iterative method for the Hermitian-generalized Hamiltonian solutions to the inverse problem AX=B with a submatrix constraint
In this paper, an iterative method is proposed for solving the matrix inverse problem $AX=B$ for Hermitian-generalized Hamiltonian matrices with a submatrix constraint. By this iterative method, for any initial matrix $A_0$, a solution $A^*$ can be obtained in finite iteration steps in the absence of roundoff errors, and the solution with least norm can be obtained by choosing a special kind of...
متن کاملBending Solution for Simply Supported Annular Plates Using the Indirect Trefftz Boundary Method
This paper presents the bending analysis of annular plates by the indirect Trefftz boundary approach. The formulation for thin and thick plates is based on the Kirchhoff plate theory and the Reissner plate theory. The governing equations are therefore a fourth-order boundary value problem and a sixth-order boundary value problem, respectively. The Trefftz method employs the complete set of solu...
متن کامل