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Regularity of solutions to a time-fractional diffusion equation
William McLeanAbstract
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:
- 26.10.10
- Published:
- 26.10.10
- MSC Codes:
- 45K05, 35B65, 35Q82