Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.10252 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917923217473536 |
|---|---|
| author | Colombo, Rinaldo M. Rossi, Elena Sylla, Abraham |
| author_facet | Colombo, Rinaldo M. Rossi, Elena Sylla, Abraham |
| contents | We prove well posedness and stability in $\mathbf{L}^1$ 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 $\mathbf{L}^1$ of classical results about parabolic equations with Neumann conditions is here achieved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10252 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non Local Mixed Systems with Neumann Boundary Conditions Colombo, Rinaldo M. Rossi, Elena Sylla, Abraham Analysis of PDEs 35M30, 35L04, 35K20 We prove well posedness and stability in $\mathbf{L}^1$ 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 $\mathbf{L}^1$ of classical results about parabolic equations with Neumann conditions is here achieved. |
| title | Non Local Mixed Systems with Neumann Boundary Conditions |
| topic | Analysis of PDEs 35M30, 35L04, 35K20 |
| url | https://arxiv.org/abs/2502.10252 |