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
-
Affiliations:
- Computing Center
- Issue: Vol 55, No 6 (2019)
- Pages: 832-840
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155052
- DOI: https://doi.org/10.1134/S0012266119060107
- ID: 155052
Cite item
Open Access
Access granted
Subscription Access
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
Supplementary files
