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Zbl 1228.35266
McLean, William
Regularity of solutions to a time-fractional diffusion equation. (English)
[J] ANZIAM J. 52, No. 2, 123-138 (2010). ISSN 1446-1811

Summary: We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equation posed over a bounded spatial domain. Such estimates are needed for the analysis of effective numerical methods, particularly since the solution is typically less regular than in the familiar case of classical diffusion.
MSC 2000:
*35R11
35B65 Smoothness of solutions of PDE
35C15 Integral representations of solutions of PDE
35C20 Asymptotic expansions of solutions of PDE

Keywords: fractional derivative; Laplace transform; Sobolev space; singular behaviour

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