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

Year: 2026

Type: article

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.

DOI: 10.7290/utmj270101

Authors: Tianling Jin, Xushan Tu, Jingang Xiong, Zhen Zheng

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G6591056831, G7726240407

OpenAlex ID: W7204956043

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