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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
64/2010

Regularity of solutions to a time-fractional diffusion equation

William McLean

Abstract

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.

Received:
Oct 26, 2010
Published:
Oct 26, 2010
MSC Codes:
45K05, 35B65, 35Q82

Related publications

inJournal
2010 Repository Open Access
William McLean

Regularity of solutions to a time-fractional diffusion equation

In: The ANZIAM journal, 52 (2010) 2, pp. 123-138