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

Kenichi Fujishiro

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arXiv · 1501.01483

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

Kenichi Fujishiro

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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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Kenichi Fujishiro. 2015-01-07. Non-homogeneous boundary value problems for fractional diffusion equations in $L^2$-setting. https://arxiv.org/abs/1501.01483

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