Abstract
The derivation of general fundamental solutions of differential operators on tensor fields is converted, through Hörmander's method, in search of general fundamental solutions of operators on scalar fields. One resorts to the theory of distributions in order to guarantee the existence of the generalized functions required in the formulation. The procedure is applied in the determination of general fundamental solutions of some well known linear elliptic differential operators of the continuum mechanics. The study concludes that the use of general fundamental solutions can be computationally advantageous.
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