Geodesic
Existence of Solutions to Poisson's Equation
Canadian mathematical bulletin, Tome 51 (2008) no. 2, pp. 229-235

Voir la notice de l'article provenant de la source Cambridge University Press

Let $\Omega$ be a domain in ${{\mathbb{R}}^{n}}\,(n\,\ge \,2).$ We find a necessary and sufficient topological condition on $\Omega$ such that, for any measure $ $ on ${{\mathbb{R}}^{n}}$ , there is a function $u$ with specified boundary conditions that satisfies the Poisson equation $\Delta u\,=\,\mu$ on $\Omega$ in the sense of distributions.
DOI : 10.4153/CMB-2008-024-8
Mots-clés : 31B25 
Hanley, Mary. Existence of Solutions to Poisson's Equation. Canadian mathematical bulletin, Tome 51 (2008) no. 2, pp. 229-235. doi: 10.4153/CMB-2008-024-8
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