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On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations

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Abstract

We consider the first initial boundary-value problem for a strongly parabolic system on an infinite cylinder with nonsmooth boundary. We prove some results on the existence, uniqueness, and asymptotic behavior of solutions as t → ∞.

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Nguyen Manh Hung, Tran Thi Loan On the Asymptotic Behavior of Solutions of the First Initial Boundary-Value Problems for Parabolic Equations. Ukrainian Mathematical Journal 55, 1383–1393 (2003). https://doi.org/10.1023/B:UKMA.0000010766.51415.08

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  • DOI: https://doi.org/10.1023/B:UKMA.0000010766.51415.08

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