Geodesic
On the smoothness of the solution of an abstract coupled problem of thermoelasticity type
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 7, pp. 1240-1257

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The Cauchy problem for a system of two operator-differential equations in Hilbert space that is a generalization of a number of linear coupled thermoelasticity problems is investigated. Results concerning the high smoothness of the solutions to these equations are proved. 
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     title = {On the smoothness of the solution of an abstract coupled problem of thermoelasticity type},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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S. E. Zhelezovskiǐ. On the smoothness of the solution of an abstract coupled problem of thermoelasticity type. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 7, pp. 1240-1257. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_7_a6/