Non-homogeneous boundary value problems for fractional diffusion equations in L²-setting

2015/01/07 by Kenichi Fujishiro, Fujishiro, Kenichi
Mathematics · #45K05 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Primary: 35B65 #Secondary: 26A33

paper · pdf · doi:10.48550/arxiv.1501.01483

openalex publication_date 2015/01/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In the present article, we study the diffusion equations with fractional time derivatives. The aim of this paper is to investigate the best possible regularity for the initial value/boundary value problems with non-homogeneous Dirichlet boundary data. The main tool we use here is called the transposition method.

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