Nonlocal Mixed Systems With Neumann Boundary Conditions
ABSTRACT We prove well posedness and stability in for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to of classical results about parabolic equations with Neumann conditions is here achieved.
Authors
- Abraham Sylla (ORCID: https://orcid.org/0000-0003-1784-4878)
- Elena Rossi (ORCID: https://orcid.org/0000-0002-3565-4309)
- Rinaldo M. Colombo (ORCID: https://orcid.org/0000-0003-0459-585X)
Institutions
- University of Modena and Reggio Emilia (IT)
- Istituto Nazionale di Alta Matematica Francesco Severi (IT)
- University of Brescia (IT)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-05-20
- DOI
- https://doi.org/10.1002/mma.11051
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00