English

Non-homogeneous boundary value problems for fractional diffusion equations in $L^2$-setting

Analysis of PDEs 2015-01-08 v1

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.

Keywords

Cite

@article{arxiv.1501.01483,
  title  = {Non-homogeneous boundary value problems for fractional diffusion equations in $L^2$-setting},
  author = {Kenichi Fujishiro},
  journal= {arXiv preprint arXiv:1501.01483},
  year   = {2015}
}
R2 v1 2026-06-22T07:53:37.560Z