Year: 2020
Author: Djamel Ait-Akli, Abdelkader Merakeb
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 1 : pp. 64–92
Abstract
In this paper we consider the Lamé system on a polygonal convex domain with mixed boundary conditions of Dirichlet-Neumann type. An explicit $L^2$ norm estimate for the gradient of the solution of this problem is established. This leads to an explicit bound of the $H^1$ norm of this solution. Note that the obtained upper-bound is not optimal.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v33.n1.5
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 1 : pp. 64–92
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Lamé system Korn's inequality Poincare's inequality inequality of trace explicit estimates.