Asymptotic Solutions of the Dirichlet Problem for the Heat Equation at a Characteristic Point

The Dirichlet problem for the heat equation in a bounded domain $G ⊂ ℝ^{n+1}$ is characteristic because there are boundary points at which the boundary touches a characteristic hyperplane $t = c$, where c is a constant. For the first time, necessary and sufficient conditions on the boundary guarante...

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Bibliographic Details
Date:2014
Main Authors: Antoniouk, A. Vict., Kiselev, O. M., Tarkhanov, N. N., Антонюк, О. Вік., Кисельов, О. М., Тарханов, Н. Н.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2014
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2223
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal