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arXiv · 2412.04973

On the Laplace equation with non-local dynamical boundary conditions

Raffaela Capitanelli·Mirko D'Ovidio
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Abstract

Aim of the paper is to study non-local dynamic boundary conditions of reactive-diffusive type for the Laplace equation from analytic and probabilistic point of view. In particular, we provide compact and probabilistic representation of the solution together with an interpretation in term of boundary processes.

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Raffaela Capitanelli, Mirko D'Ovidio. 2024-12-06. On the Laplace equation with non-local dynamical boundary conditions. https://arxiv.org/abs/2412.04973

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