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Evolution free-boundary problem for a stationary system of the theory of elasticity

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 sufficientl...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2013-09, Vol.65 (4), p.541-562
Main Author: Krasnoshchok, M. V.
Format: Article
Language:English
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Summary: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.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-013-0794-6