A unilateral hyperbolic problem with small parameters

Article type: Research Article

Authors: Hajouj, Brahim | Madaune‐Tort, Monique^;

Affiliations: Département de Mathématiques, École Normale Supérieure, Marrakech, BP S/41, Maroc | Laboratoire de Mathématiques Appliquées, ERS A 2055, Université de Pau et des Pays de L'Adour, avenue de l'Université, 64000 Pau, France E‐mail: monique.madaune‐tort@univ‐pau.fr

Note: [] Corresponding author.

Abstract: In this paper some variational inequalities of second order used in the elasto‐plasticity theory are compared with first order inequalities. Convergence properties in Sobolev spaces are given thanks to a priori estimates and a uniqueness result for first order inequalities.

Journal: Asymptotic Analysis, vol. 32, no. 3-4, pp. 335-358, 2002