# On global spatial regularity in elasto-plasticity with linear hardening

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In a bounded domain of R n+1, n â‰§ 2, we consider a second-order elliptic operator, $${A=-{\partial_{x_0}^2} - \nabla_x \cdot (c(x) \nabla_x)}$$, where the (scalar) coefficient c( x) is piecewise smooth yet discontinuous across a smooth interface S. We prove a local Carleman estimate for A...