Fully nonlinear dead-core systems
Analysis of PDEs
2024-07-18 v2
Abstract
We study fully nonlinear dead-core systems coupled with strong absorption terms. We discover a chain reaction, exploiting properties of an equation along the system and obtain higher sharp regularity across the free boundary. Additionally, we prove geometric measure estimates and obtain coincidence of the free boundaries. We also derive Liouville type theorems for entire solutions. These results are new even for linear systems.
Cite
@article{arxiv.2008.07955,
title = {Fully nonlinear dead-core systems},
author = {Damião J. Araújo and Rafayel Teymurazyan},
journal= {arXiv preprint arXiv:2008.07955},
year = {2024}
}
Comments
20 pages, 2 figures