GLOBAL SMOOTH SOLUTIONS TO THE SYSTEM OF ONE-IMMENSIONAL THERMOELASTICITY WITH DISSIPATION BOUNDARY CONDITIONS
Citation：
Shen Weixi,Zheng Songmu.GLOBAL SMOOTH SOLUTIONS TO THE SYSTEM OF ONE-IMMENSIONAL THERMOELASTICITY WITH DISSIPATION BOUNDARY CONDITIONS[J].Chinese Annals of Mathematics B,1986,7(3):303~317
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Authors：
Shen Weixi; Zheng Songmu
Abstract：
In this paper, the authors consider the initial boundary value problem for the a system of one-domensional thermoelasticity with dissipation conditions. By means of the delicate energy estimates and the continuation argument, the authors proved the global existence uniqueness and the exponential decay of smooth solutions provided that the initial data are sufficiently small 。
