Solving Poisson equation by distributional HK-integral: prospects and limitations (Q1980368)

Summary: In this paper, we present some properties of integrable distributions which are continuous linear functional on the space of test function \(\mathscr{D}(\mathbb{R}^2)\). Here, it uses two-dimensional Henstock-Kurzweil integral. We discuss integrable distributional solution for Poisson's equation in the upper half space \(\mathbb{R}_+^3\) with Dirichlet boundary condition.