Uniqueness conjecture for isotropic elastic strain fields from three components

Let $\Omega\subset\mathbb{R}^3$ be a compact domain, and let $\epsilon\in C^2(\mathcal{S}^2,\Omega)$ be an elastic strain field in an isotropic medium that satisfies equilibrium and a zero-traction boundary condition on $\Omega$. Three-component uniqueness conjecture. Any such elastic strain field is uniquely determined from three distinct components. The conjecture addresses the well-posedness of inverse eigenstrain and stress-reconstruction problems: measuring only one strain component admits nontrivial fields that are invisible to the measurement, and the authors propose that three distinct components suffice for uniqueness.