Global small solutions of the cauchy problem for a semilinear system of equations of thermoelasticity |
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| Authors: | O. M. Botsenyuk |
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| Affiliation: | (1) Institute of Applied Problem in Mechanics and Mathematics, Ukranian Academy of Sciences, Lvov |
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| Abstract: | For a semilinear system of equations of thermoelasticity, we establish a theorem on the existence and uniqueness of global solutions in a multidimensional space under the condition that the initial data are sufficiently small. We also obtain estimates for the decrease of solutions as time increases. |
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