Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
We consider boundary value problems in linearized elastostatics for isotropic materials. It is known that Dirichlet boundary conditions are strongly elliptic boundary conditions in the sense of Lopatinsky and Shapiro. Traction boundary conditions deal with prescribed forces normal to the boundary. We want to conclude that these are elliptic boundary conditions too.