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

Published 7 Jan 2015 in math.AP | (1501.01483v1)

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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