Global small solutions of the cauchy problem for a semilinear system of equations of thermoelasticity

Authors

  • А. N. Botsenyuk

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.

Published

25.04.2000

Issue

Section

Research articles

How to Cite

Botsenyuk А. N. “Global Small Solutions of the Cauchy Problem for a Semilinear System of Equations of Thermoelasticity”. Ukrains’kyi Matematychnyi Zhurnal, vol. 52, no. 4, Apr. 2000, pp. 435-46, https://umj.imath.kiev.ua/index.php/umj/article/view/4435.