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arxiv: 1501.01483 · v1 · pith:2FVPTKQ3new · submitted 2015-01-07 · 🧮 math.AP

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

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keywords boundaryvaluediffusionequationsfractionalnon-homogeneousproblemsarticle
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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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