MiS Preprint Repository

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MiS Preprint

Regularity of solutions to a time-fractional diffusion equation

William McLean


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.

MSC Codes:
45K05, 35B65, 35Q82

Related publications

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