ON GENERAL FUNDAMENTAL-SOLUTIONS OF SOME LINEAR ELLIPTIC DIFFERENTIAL-OPERATORS

The derivation of general fundamental solutions of differential operat ors on tensor fields is converted, through Hormander's method, in sear ch of general fundamental solutions of operators on scalar fields. One resorts to the theory of distributions in order to guarantee the exis tence of the generalized functions required in the formulation. The pr ocedure is applied in the determination of general fundamental solutio ns of some well known linear elliptic differential operators of the co ntinuum mechanics. The study concludes that the use of general fundame ntal solutions can be computationally advantageous. Copyright (C) 1996 Elsevier Science Ltd