Unique continuation for the system of elasticity in the plane

We prove the strong unique continuation property for the Lamé system of elastostatics in the plane, $\nabla\cdot\left(\mu\left (\nabla u+\nabla u^t \right) \right)+\nabla\left(\lambda\nabla\cdot u\right)=0$, with variable Lamé coefficients $\mu$, $\lambda$, when $\mu$ is Lipschitz and $\lambda$ is measurable.