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Uniqueness and continuous dependence of solutions to a multidimensional thermoelastic contact problem

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Abstract

Uniqueness and continuous dependence on the initial temperature are established for the solution of a multidimensional, quasistatic thermoelastic contact problem. The proof of this result does not depend on the ability to decouple the system of governing equations as required in the technique used by Shi and Shillor [European J. Appl. Math., 1990, 371–387] in the one dimensional analogue of this problem. Some extensions to other contact problems are suggested.

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Ames, K.A., Payne, L.E. Uniqueness and continuous dependence of solutions to a multidimensional thermoelastic contact problem. J Elasticity 34, 139–148 (1994). https://doi.org/10.1007/BF00041189

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  • DOI: https://doi.org/10.1007/BF00041189

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