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arXiv · 1702.00929

Gradient of solution of the Poisson equation in the unit ball and related operators

David Kalaj·Djordjije Vujadinovic
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Abstract

In this paper we determine the $L^1\to L^1$ and $L^{\infty}\to L^\infty$ norms of an integral operator $\mathcal{N}$ related to the gradient of the solution of Poisson equation in the unit ball with vanishing boundary data in sense of distributions.

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David Kalaj, Djordjije Vujadinovic. 2017-02-03. Gradient of solution of the Poisson equation in the unit ball and related operators. https://arxiv.org/abs/1702.00929

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