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.
On the Laplace equation with non-local dynamical boundary conditions / Capitanelli, Raffaela; D'Ovidio, Mirko. - In: EVOLUTION EQUATIONS AND CONTROL THEORY. - ISSN 2163-2480. - (2025), pp. 1-15. [10.3934/eect.2025064]
On the Laplace equation with non-local dynamical boundary conditions
Raffaela capitanelli
;mirko d'ovidio
2025
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.File allegati a questo prodotto
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