Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator
Mathematical Physics
2011-01-06 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
A systematic construction of the Green's matrix for a second order, self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out. We follow the general approach of extracting the Green's matrix from the Green's matrix of the corresponding first order system. This construction is required in the cases where the differential equation set cannot be turned to an algebraic equation set via transform techniques.
Keywords
Cite
@article{arxiv.0908.0223,
title = {Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator},
author = {Tahsin Cagri Sisman and Bayram Tekin},
journal= {arXiv preprint arXiv:0908.0223},
year = {2011}
}
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19 pages