Botsenyuk А. N.
Global small solutions of the cauchy problem for a semilinear system of equations of thermoelasticity
Ukr. Mat. Zh. - 2000. - 52, № 4. - pp. 435-446
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.