A simple dynamical problem involving unilateral contact and dry friction of Coulomb type is considered as an archetype. We are concerned with the existence and uniqueness of solutions of the system with Cauchy data. In the frictionless case, it is known [Schatzman, Nonlinear Anal. Theory, Methods Appl. 2 (1978) 355–373] that pathologies of non-uniqueness can exist, even if all the data are of class ${C}^{\infty}$. However, uniqueness is recovered provided that the data are analytic [Ballard, Arch. Rational Mech....

This study deals with the existence and uniqueness of solutions to dynamical problems of finite freedom involving unilateral contact and Coulomb friction. In the frictionless case, it has been established [P. Ballard, 154 (2000) 199–274] that the existence and uniqueness of a solution to the Cauchy problem can be proved under the assumption that the data are analytic, but not if they are assumed to be only of class
. Some years ago, this finding was extended [P. Ballard and S. Basseville,...

A simple dynamical problem involving unilateral contact and dry friction of Coulomb
type is considered as an archetype. We are concerned with the existence and uniqueness of
solutions of the system with Cauchy data. In the frictionless case, it is known
[Schatzman,
(1978) 355–373] that pathologies of non-uniqueness can exist, even if all the data are of class
. However, uniqueness is recovered provided that the data are analytic [Ballard,
(2000)...

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