tangential regularity
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Author(s):  
A. SEPAHVAND ◽  
A. BARANI

This paper is devoted to the study of the normal (tangential) regularity of a closed set and the subdifferential (directional) regularity of its distance function in the context of Riemannian manifolds. The Clarke, Fréchet and proximal subdifferentials of the distance function from a closed subset in a Riemannian manifold are represented by corresponding normal cones of the set.


2010 ◽  
Vol 20 (10) ◽  
pp. 1823-1858 ◽  
Author(s):  
DOROTHEE KNEES

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 u ∈ L∞((0, T); H3/2-δ(Ω)) for the displacements and z ∈ L∞((0, T); H1/2-δ(Ω)) for the internal variables. The proof relies on a reflection argument which gives the regularity result in directions normal to the boundary on the basis of tangential regularity results. Based on the regularity results we derive convergence rates for a finite element approximation of the models.


1981 ◽  
Vol 5 (6) ◽  
pp. 625-643 ◽  
Author(s):  
Jean Paul Penot

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