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Signorini contact condition in displacements; small singular memory; variational inequality; penalization; a-priori and dual estimates; interpolation; existence of solutions
The existence of a solution to the dynamic contact of a body having a singular memory with a rigid undeformable support is proved under some weaker assumption than that in [3].
[1] Lions J.L., Magenes E.: Problèmes aux limites non-homogènes et applications. Dunod, Paris, 1968. Zbl 0212.43801
[2] Jarušek J.: Solvability of the variational inequality for a drum with a memory vibrating in the presence of an obstacle. Boll. Unione Mat. Ital. 7 (8-A) (1994), 113-122. MR 1273193
[3] Jarušek J.: Dynamical contact problems for bodies with a singular memory. Boll. Unione Mat. Ital. 7 (9-A) (1995), 581-592. MR 1363559
[4] Jarušek J.: Dynamical contact problems with given friction for viscoelastic bodies. Czech. Math. J. 46 (1996), 475-487. MR 1408299
[5] Jarušek J., Eck Ch.: Dynamic contact problems with small Coulomb friction for viscoelastic bodies. Existence of solutions. for a preliminary version see SFB 404 Bericht Nr. 97/1, Universität Stuttgart 1997; to appear in Math. Mod. Meth. Appl. Sci. MR 1671535
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