In the present paper we consider the Dirichlet problem for the Moisil-Theodorescu system. Using the theory of self-conjugate differential forms, we prove an existence theorem with data in $L^1$ and refine a related version of the Brothers Riesz theorem. Completeness theorems on the boundary are also proved for this BVP. These theorems are for systems obtained by means of harmonic polynomials.
On the Dirichlet problem for the Moisil-Theodorescu system
Cialdea, Alberto
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2025-01-01
Abstract
In the present paper we consider the Dirichlet problem for the Moisil-Theodorescu system. Using the theory of self-conjugate differential forms, we prove an existence theorem with data in $L^1$ and refine a related version of the Brothers Riesz theorem. Completeness theorems on the boundary are also proved for this BVP. These theorems are for systems obtained by means of harmonic polynomials.File in questo prodotto:
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