Laplace type operators: Dirichlet problem

Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 6 (1):53-80 (2007)
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Abstract

We investigate Laplace type operators in the Euclidean space. We give a purely algebraic proof of the theorem on existence and uniqueness of the Dirichlet boundary problem for a Laplace type operator and give a method of determining the exact solution to that problem. Moreover, we give a decomposition of the kernel of a Laplace type operator into $\mathsf {SO}$-irreducible subspaces

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10.2422/2036-2145.2007.1.04

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Citations of this work

Natural boundary value problems for weighted form Laplacians.Wojciech Kozłowski & Antoni Pierzchalski - 2008 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 7 (2):343-367.

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