Exact solutions of Dirichlet type problem to elliptic equation, which type degenerates at the axis of cylinder. IReport as inadecuate




Exact solutions of Dirichlet type problem to elliptic equation, which type degenerates at the axis of cylinder. I - Download this document for free, or read online. Document in PDF available to download.

Boundary Value Problems

, 2016:183

First Online: 19 October 2016Received: 03 June 2016Accepted: 05 October 2016

Abstract

In this article, an elliptic equation, which type degenerates either weakly or strongly at the axis of a 3-dimensional cylinder, is considered. The statement of a Dirichlet type problem in the class of smooth functions is given and, subject to the type of degeneracy, the exact classical solutions are obtained. The uniqueness of the solutions is proved and the continuity of the solutions on the line of degeneracy is discussed.

Keywordsdegenerate elliptic equations boundary value problems Dirichlet type problem  Download fulltext PDF



Author: Stasys Rutkauskas

Source: https://link.springer.com/







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