We consider an evolution free-boundary problem for a stationary linear system of the theory of elasticity encountered in the investigation of solid thin films in microelectronic devices. Its solvability is proved on an arbitrary time interval under the condition that the initial data are sufficiently close to the stationary solution.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 4, pp. 494–511, April, 2013.
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Krasnoshchok, M.V. Evolution free-boundary problem for a stationary system of the theory of elasticity. Ukr Math J 65, 541–562 (2013). https://doi.org/10.1007/s11253-013-0794-6
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DOI: https://doi.org/10.1007/s11253-013-0794-6