Completeness theorems: Fichera's fundamental results and some new contributions

Authors

  • Alberto Cialdea Università della Basilicata

Keywords:

Completeness theorems, Higher order elliptic equations, Potential theory

Abstract

After recalling Fichera’s fundamental results in the study of the problem of the completeness of particular solutions of a partial differential equation, we give some new completeness theorem. They concern the Dirichlet problem for a general elliptic operator of higher order with real constant coefficients in any number of variables.

Author Biography

  • Alberto Cialdea, Università della Basilicata
    Dipartimento di Matematica e Informatica,
    Viale dell’Ateneo Lucano 10, 85100, Potenza, Italy.

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Published

2007-12-06

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Section

Articoli