Talk:Screened Poisson equation
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Solutions: first para
[edit]I'm no expert in this particular branch of PDEs otherwise I would just edit it, but it looks like this:
- "When λ is zero, the equation reduces to Poisson's equation. Therefore, when λ is very small, the solution approaches that of the unscreened :Poisson equation"
should instead say that the solution to the unscreened Poisson equation should approach that of the Poission equation for small λ. Tweet7 (talk) 13:35, 20 November 2012 (UTC)
Application
[edit]Might be of interest..
A. Pigazzini et al, have made a notable contribution to the study of the homogeneous case in the context of differential geometry. Their research, focusing particularly on Einstein warped product manifolds, explores cases where the warped function satisfies the homogeneous version of this equation. This work demonstrates that under specific conditions, the manifold size, Ricci curvature, and screening parameter are interconnected via a quadratic relationship, revealing deeper geometric implications.
https://arxiv.org/abs/2407.20381 (Preprint of manuscript accepted for publication in the Contemporary Mathematics series of the American Mathematical Society - Book entitled: "Recent Advances in Differential Geometry and Related Areas" to appear in 2025). Maurixxt (talk) 21:05, 27 October 2024 (UTC)