Duality estimates for subdiffusion problems including time-fractional porous medium type equations
Analysis of PDEs
2025-09-10 v1
Abstract
We prove duality estimates for time-fractional and more general subdiffusion problems. An important example is given by subdiffusive porous medium type equations. Our estimates can be used to prove uniqueness of weak solutions to such problems, and they allow to extend a key estimate from classical reaction-diffusion systems to the subdiffusive case. Besides concrete equations involving a Laplacian, we also consider abstract problems in a Hilbert space setting.
Cite
@article{arxiv.2509.07862,
title = {Duality estimates for subdiffusion problems including time-fractional porous medium type equations},
author = {Arlúcio Viana and Patryk Wolejko and Rico Zacher},
journal= {arXiv preprint arXiv:2509.07862},
year = {2025}
}
Comments
24 pages