On boundary regularity for the stress in problems of linearized elasto-plasticity

We investigate regularity properties of the stress tensor near the boundary for models of elasto-plasticity in arbitrary dimension. Focusing on special geometries, namely on balls and infinite strips, we obtain L 2-estimates for the tangential derivatives of the stress tensor near the boundary. We indicate why these estimates may fail for more general domains. In addition, we establish L 2-estimates for (the trace of) the stress tensor on the boundary.