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

preprint2015arXivOpen access

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

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Non-homogeneous boundary value problems for fractional diffusion equations in L2L^2L2-setting

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