Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.08331 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916093371613184 |
|---|---|
| author | Chatziafratis, Andreas |
| author_facet | Chatziafratis, Andreas |
| contents | We consider the Fokas method expression for the solution of the heat equation on the half line with Dirichlet data and we study in detail its boundary behaviour near the spatiotemporal domain boundaries, i.e., the semi-axes, infinity and the origin, by analyzing the integrals involved. We also study the boundary behaviour of the derivatives of the solution. In particular we give conditions on the data which guarantee the extension of the solution to a smooth function up to the semi-infinite boundaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08331 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary behaviour of the solution of the heat equation on the half line via the Fokas unified transform method Chatziafratis, Andreas Analysis of PDEs Mathematical Physics We consider the Fokas method expression for the solution of the heat equation on the half line with Dirichlet data and we study in detail its boundary behaviour near the spatiotemporal domain boundaries, i.e., the semi-axes, infinity and the origin, by analyzing the integrals involved. We also study the boundary behaviour of the derivatives of the solution. In particular we give conditions on the data which guarantee the extension of the solution to a smooth function up to the semi-infinite boundaries. |
| title | Boundary behaviour of the solution of the heat equation on the half line via the Fokas unified transform method |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2401.08331 |