Uniform Wellposedness of a Mixed Formulation of Symmetric Problems with Rough Coefficients with Application to Highly Nonhomogeneous Linear Elasticity

Andrew Knyazev
Department of Mathematics, University of Colorado at Denver
P.O. Box 173364, Campus Box 170, Denver, CO 80217-3364


We prove that a standard mixed formulation of symmetric problems with large jumps in coefficients is uniformly wellposed in a standard norm, independent of the jumps, under some natural assumptions. As an application, we consider a Hellinger-Reissner formulation of nonhomogeneous Lame equations for media with (almost) rigid inclusions. The (almost) incompressible case is covered as well.