Geodesic
The Energy Method for Elastic Problems With Non-Homogeneous Boundary Conditions
International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 1, pp. 91-100.

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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.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.
Keywords: weighted energy method, decay estimates, Navier equations, non-homogeneous boundary conditions
Mots-clés : matematyka 
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     title = {The {Energy} {Method} for {Elastic} {Problems} {With} {Non-Homogeneous} {Boundary} {Conditions}},
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Quintanilla, R. The Energy Method for Elastic Problems With Non-Homogeneous Boundary Conditions. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 1, pp. 91-100. http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_1_a8/