Solving Poisson Equation by Distributional HK‐Integral: Prospects and Limitations

Amila J. Maldeniya, Naleen C. Ganegoda, Kaushika De Silva and Sanath K. Boralugoda

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, issue 1

Abstract: In this paper, we present some properties of integrable distributions which are continuous linear functional on the space of test function Dℝ2. Here, it uses two‐dimensional Henstock–Kurzweil integral. We discuss integrable distributional solution for Poisson’s equation in the upper half space ℝ+3 with Dirichlet boundary condition.

Date: 2021
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https://doi.org/10.1155/2021/5511283

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jijmms:v:2021:y:2021:i:1:n:5511283

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