Calder\'on-Zygmund type estimate for the singular parabolic double-phase system
Analysis of PDEs
2025-04-03 v2
Abstract
This paper discusses the local Calder\'on-Zygmund type estimate for the singular parabolic double-phase system. The proof covers the counterpart of the result in [23]. Phase analysis is employed to determine an appropriate intrinsic geometry for each phase. Comparison estimates and scaling invariant properties for each intrinsic geometry are the main techniques to obtain the main estimate.
Cite
@article{arxiv.2412.18434,
title = {Calder\'on-Zygmund type estimate for the singular parabolic double-phase system},
author = {Wontae Kim},
journal= {arXiv preprint arXiv:2412.18434},
year = {2025}
}
Comments
Revisions has been made according to referee's comments