Well-posedness of time-fractional, advection-diffusion-reaction equations
Analysis of PDEs
2020-03-24 v2
Abstract
We establish the well-posedness of an initial-boundary value problem for a general class of time-fractional, advection-diffusion-reaction equations, allowing space- and time-dependent coefficients as well as initial data that may have low regularity. Our analysis relies on novel energy methods in combination with a fractional Gronwall inequality and properties of fractional integrals.
Keywords
Cite
@article{arxiv.1810.04836,
title = {Well-posedness of time-fractional, advection-diffusion-reaction equations},
author = {William McLean and Kassem Mustapha and Raed Ali and Omar Knio},
journal= {arXiv preprint arXiv:1810.04836},
year = {2020}
}
Comments
26 pages, no figures