Regularity of solutions to time fractional diffusion equations

2017/04/01 by Binjie Li, Li, Binjie, Xiaoping Xie +1
Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1704.00147

openalex publication_date 2017/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive some regularity estimates of the solution to a time fractional diffusion equation, that are useful for numerical analysis, and partially unravel the singularity structure of the solution with respect to the time variable.

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