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Schauder estimates for the linearized very fast diffusion equations in bounded domains
Abstract
We establish Schauder estimates for linearized very fast diffusion equations with Dirichlet boundary conditions in bounded smooth domains. These estimates provide an important ingredient for deriving optimal boundary regularity and long-time dynamics of solutions to very fast diffusion equations.
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BibTeX
@misc{jin2026schauder,
title = {{Schauder estimates for the linearized very fast diffusion equations in bounded domains}},
author = {Tianling Jin and Xushan Tu and Jingang Xiong and Zhen Zheng},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28983},
eprint = {2608.28983},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28983},
}
RIS
TY - UNPB
TI - Schauder estimates for the linearized very fast diffusion equations in bounded domains
AU - Tianling Jin
AU - Xushan Tu
AU - Jingang Xiong
AU - Zhen Zheng
PY - 2026
DA - 2026/08/29
PB - arXiv
DO - 10.48550/arxiv.2608.28983
UR - https://arxiv.org/abs/2608.28983
AB - We establish Schauder estimates for linearized very fast diffusion equations with Dirichlet boundary conditions in bounded smooth domains. These estimates provide an important ingredient for deriving optimal boundary regularity and long-time dynamics of solutions to very fast diffusion equations.
ER -