Quintanilla, Ramon The energy method for elastic problems with non-homogeneous boundary conditions. (English) Zbl 1023.74006 Int. J. Appl. Math. Comput. Sci. 12, No. 1, 91-100 (2002). Summary: We propose the weighted energy method as a way to study estimates of solutions of boundary value problems with nonhomogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider nonhomogeneous boundary conditions. Some comments in the case of harmonic vibrations are given as well. We also extend the arguments to a class of three-dimensional problems for a cylinder. A section is devoted to the study of an ill-posed problem. MSC: 74B05 Classical linear elasticity 74G55 Qualitative behavior of solutions of equilibrium problems in solid mechanics 35Q72 Other PDE from mechanics (MSC2000) Keywords:strip; three-dimensional elasticity; Navier equations; weighted energy method; boundary value problems; nonhomogeneous boundary conditions; spatial decay estimates; two-dimensional elasticity; harmonic vibrations; cylinder; ill-posed problem PDFBibTeX XMLCite \textit{R. Quintanilla}, Int. J. Appl. Math. Comput. Sci. 12, No. 1, 91--100 (2002; Zbl 1023.74006) Full Text: EuDML