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Rapidly decreasing behaviour of solutions in nonlinear 3-D-thermoelasticity

Published online by Cambridge University Press:  17 April 2009

Song Jiang
Song Jiang
Affiliation:
Institut für Angewandte Mathematik, Wegelerstrasse 10, D-5300 Bonn 1, West Germany Department of Mathematics, Xi'an Jiaotong University, Xi'an, Shaanxi Province Peoples, Republic of China
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Abstract

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In this paper we study the asymptotic behaviour, as |x| → ∞, of solutions to the initial value problem in nonlinear three-dimensional thermoelasticity in some weighted Sobolev spaces. We show that under some conditions, solutions decrease fast for each t as x tends to infinity. We also consider the possible extension of the method presented in this paper to the initial boundary value problem in exterior domains.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 1 , February 1991 , pp. 89 - 99
Copyright
Copyright © Australian Mathematical Society 1991

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