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

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

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, 1-9

Abstract: In this paper, we present some properties of integrable distributions which are continuous linear functional on the space of test function D℠2. Here, it uses two-dimensional Henstock–Kurzweil integral. We discuss integrable distributional solution for Poisson’s equation in the upper half space ℠+3 with Dirichlet boundary condition.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5511283

DOI: 10.1155/2021/5511283

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