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On the smoothness of solutions of an abstract coupled thermoelasticity problem

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Abstract

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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  1. Saratov Social-Economics University, ul. Radishcheva 89, Saratov, 410003, Russia

    S. E. Zhelezovskii

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  1. S. E. Zhelezovskii
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Correspondence to S. E. Zhelezovskii.

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Original Russian Text © S.E. Zhelezovskii, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 7, pp. 1240–1257.

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Zhelezovskii, S.E. On the smoothness of solutions of an abstract coupled thermoelasticity problem. Comput. Math. and Math. Phys. 50, 1178–1194 (2010). https://doi.org/10.1134/S0965542510070079

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