Schauder estimates for the linearized very fast diffusion equations in bounded domains

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.

Authors

Publication Details

Published
2026-10-28
DOI
https://doi.org/10.7290/utmj270101
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Schauder estimates for the linearized very fast diffusion equations in bounded domains

Xushan Tu, Tianling Jin, Zhen Zheng, Jingang Xiong
1 links
Nonlinear Partial Differential Equations
article

Schauder estimates for the linearized very fast diffusion equations in bounded domains

Xushan Tu, Tianling Jin, Zhen Zheng, Jingang Xiong
article en

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.

Vol. 2027(1)
Openalex Percentile: Top 38%
Nonlinear Partial Differential Equations
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
Schauder estimates for the linearized very fast diffusion equations in bounded domains — Xushan Tu, Tianling Jin, et al. · (2026) | TGRS Research Map | TGRS