Oscillating–decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems

AbstractWe construct oscillating–decaying solutions for the general inhomogeneous anisotropic elasticity system. We also prove the Runge approximation property for the inhomogeneous transversely isotropic elasticity system. We apply the oscillating–decaying solutions and the Runge approximation property to the inverse problem of identifying an inclusion or a cavity embedded in a transversely isotropic elastic medium