Email this article Existence and Uniqueness of an Rν-Generalized Solution of the Dirichlet Problem for the Lamé System with a Corner Singularity
- Authors: Rukavishnikov V.A.1, Rukavishnikova E.I.1
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Affiliations:
- Computing Center
- Issue: Vol 55, No 6 (2019)
- Pages: 832-840
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155052
- DOI: https://doi.org/10.1134/S0012266119060107
- ID: 155052
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Abstract
We consider the Dirichlet problem for the Lamé system in a two-dimensional domain whose boundary contains a reentrant corner. The notion of Rv-generalized solution is introduced for this problem. The existence and uniqueness of such a solution in the weighted set \({\mathop W\limits^\circ}_{2,v*}^1(\Omega,\delta)\) is proved.
About the authors
V. A. Rukavishnikov
Computing Center
Author for correspondence.
Email: vark0102@mail.ru
Russian Federation, Khabarovsk, 680000
E. I. Rukavishnikova
Computing Center
Email: vark0102@mail.ru
Russian Federation, Khabarovsk, 680000
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