A uniform bound for solutions to a thermo-diffusive system
Analysis of PDEs
2023-02-02 v2
Abstract
We obtain uniform in time bounds for the solutions to a class of thermo-diffusive systems with classical and fractional diffusions. In the classical diffusion case, the nonlinearities are assumed to be at most exponentially growing, while for the fractional diffusions they should grow slightly sub-exponentially. The proofs are based on the strategy of Herrero, Lacey, and Velazquez.
Cite
@article{arxiv.2204.10351,
title = {A uniform bound for solutions to a thermo-diffusive system},
author = {Joonhyun La and Lenya Ryzhik},
journal= {arXiv preprint arXiv:2204.10351},
year = {2023}
}
Comments
We will replace the current version with the corrected one