Ernst, Emil Well-posedness of the Dirichlet problem in non-elliptic isotropic elasticity. (English) Zbl 0999.74017 Z. Angew. Math. Phys. 53, No. 1, 73-89 (2002). Summary: The well-posedness of Dirichlet boundary value problem for isotropic homogeneous linear elastic material is established for non-elliptic equilibrium systems. We also examine mechanical properties of elastic materials with negative shear modulus. Cited in 1 Document MSC: 74B05 Classical linear elasticity 35Q72 Other PDE from mechanics (MSC2000) 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs Keywords:non-elliptic linear elasticity; well-posedness; Dirichlet boundary value problem; isotropic homogeneous linear elastic material; non-elliptic equilibrium systems; negative shear modulus PDFBibTeX XMLCite \textit{E. Ernst}, Z. Angew. Math. Phys. 53, No. 1, 73--89 (2002; Zbl 0999.74017) Full Text: DOI