Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign
Analysis of PDEs
2022-05-20 v2
Abstract
We consider time-fractional parabolic equations with a Caputo time derivative of order . For such equations, we give an elementary proof of the weak maximum principle under no assumptions on the sign of the reaction coefficient. This proof is also extended for weak solutions, as well as for various types of boundary conditions and variable-coefficient variable-order multiterm time-fractional parabolic equations.
Keywords
Cite
@article{arxiv.2202.10220,
title = {Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign},
author = {Natalia Kopteva},
journal= {arXiv preprint arXiv:2202.10220},
year = {2022}
}