| Issue |
ITM Web Conf.
Volume 34, 2020
International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|
|
|---|---|---|
| Article Number | 03011 | |
| Number of page(s) | 12 | |
| Section | Differential Equations, Dynamical Systems, and Geometry | |
| DOI | https://doi.org/10.1051/itmconf/20203403011 | |
| Published online | 03 December 2020 | |
Well-posedness of the linear heat equation with a second order memory term
1
Department of Mathematics, University of Craiova, 200585, Romania
2
Department of Applied Mathematics, University of Craiova, 200585, Romania
* e-mail: nita_gyk@yahoo.com
** e-mail: temereanca_laurentiu@yahoo.com
In this article we prove that the heat equation with a memory term on the one-dimensional torus has a unique solution and we study the smoothness properties of this solution. These properties are related with some smoothness assumptions imposed to the initial data of the problem and to the source term.
Key words: heat equation / memory term
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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