×

The energy method for elastic problems with non-homogeneous boundary conditions. (English) Zbl 1023.74006

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)
PDFBibTeX XMLCite
Full Text: EuDML