In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. Some comments in the case of harmonic vibrations are considered as well. We also extend the arguments to a class of three-dimensional problems in a cylinder. A section is devoted to the study of an ill-posed problem. Some remarks are presented in the last section of the paper.
@article{bwmeta1.element.bwnjournal-article-amcv12i1p91bwm,
author = {Quintanilla, Ramon},
title = {The energy method for elastic problems with non-homogeneous boundary conditions},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {12},
year = {2002},
pages = {91-100},
zbl = {1023.74006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv12i1p91bwm}
}
Quintanilla, Ramon. The energy method for elastic problems with non-homogeneous boundary conditions. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) pp. 91-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv12i1p91bwm/
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