No CrossRef data available.
Article contents
Existence of Solutions to Poisson's Equation
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2008