Well-posedness of the Dirichlet and Poincare problems for a multidimensional Gellerstedt equation in a cylindric domain

We prove the unique solvability of the Dirichlet and Poincare problems for a multidimensional Gellerstedt equation in a ´cylindric domain. We also obtain a criterion for the unique solvability of these problems.

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Bibliographic Details
Date:2012
Main Authors: Aldashev, S. A., Алдашев, С. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2012
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2587
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal