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Rapidly decreasing behaviour of solutions in nonlinear 3-D-thermoelasticity
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1991
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