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WIAS Preprint No. 1395, (2009)

Global spatial regularity for time dependent elasto-plasticity and related problems


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2010 Mathematics Subject Classification

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Abstract

We study the global spatial regularity of solutions of generalized elasto-plastic models with linear hardening on smooth domains. Under natural smoothness assumptions on the data and the boundary we obtain that the displacements belong to L^∞((0,T);H^(3/2-δ)(Ω)) whereas the internal variables belong to L^∞((0,T);H^(1/2-δ)(Ω)). The key step in the proof is a reflection argument which gives the regularity result in directions normal to the boundary on the basis of tangential regularity results.

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