English

Non Local Mixed Systems with Neumann Boundary Conditions

Analysis of PDEs 2025-02-17 v1

Abstract

We prove well posedness and stability in L1\mathbf{L}^1 for a class of mixed hyperbolic-parabolic non linear and non local 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 L1\mathbf{L}^1 of classical results about parabolic equations with Neumann conditions is here achieved.

Keywords

Cite

@article{arxiv.2502.10252,
  title  = {Non Local Mixed Systems with Neumann Boundary Conditions},
  author = {Rinaldo M. Colombo and Elena Rossi and Abraham Sylla},
  journal= {arXiv preprint arXiv:2502.10252},
  year   = {2025}
}
R2 v1 2026-06-28T21:44:34.354Z