Produção Nacional
Revisado por pares
On general fundamental solutions of some linear elliptic differential operators
1996; Elsevier BV; Volume: 17; Issue: 4 Linguagem: Inglês
10.1016/s0955-7997(96)00028-8
ISSN1873-197X
AutoresT. Westphal, Clovis S. de Barcellos, Jucélio Tomás Pereira,
Tópico(s)Advanced Numerical Methods in Computational Mathematics
ResumoThe derivation of general fundamental solutions of differential operators on tensor fields is converted, through Hormander'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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