Regularity of solutions to a time-fractional diffusion equation
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Submission date: 26. Oct. 2010
published in: The ANZIAM journal, 52 (2010) 2, p. 123-138
DOI number (of the published article): 10.1017/S1446181111000617
MSC-Numbers: 45K05, 35B65, 35Q82
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The paper proves 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 less regular than in the well-known case of classical diffusion.