@Article{JPDE-33-64, author = {Ait-Akli , Djamel and Merakeb , Abdelkader}, title = {Explicit H1-Estimate for the Solution of the Lamé System with Mixed Boundary Conditions}, journal = {Journal of Partial Differential Equations}, year = {2020}, volume = {33}, number = {1}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v33.n1.5}, url = {http://global-sci.org/intro/article_detail/jpde/15804.html} }