On the Laplace equation with non-local dynamical boundary conditions
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.
Authors
- Mirko D’Ovidio (ORCID: https://orcid.org/0000-0002-2796-5465)
- Raffaela Capitanelli (ORCID: https://orcid.org/0000-0003-1771-1522)
Institutions
- Sapienza University of Rome (IT)
Publication Details
- Journal
- Evolution equations and control theory
- Published
- 2025-09-01
- DOI
- https://doi.org/10.3934/eect.2025064
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Sapienza Università di Roma