Work

On the Laplace equation with non-local dynamical boundary conditions

Year: 2025

Type: article

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.

Source: Evolution equations and control theory

DOI: 10.3934/eect.2025064

Authors: Raffaela Capitanelli, Mirko D'Ovidio

Institution: Sapienza University of Rome

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Sapienza Università di Roma

Award: G5245466801