Abstract
We prove regularity up to boundary for self-controlling and Cosserat models (i.e. those possessing velocity in L2(H1)). The technique we use was recently discovered by Löbach and Frehse for the study of regularity for isotropic and kinematic hardening. In the second part of the paper we prove higher interior regularity for solutions to models of power type, for which the velocity field is less regular.
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