The BC method's unification conjecture for inverse boundary value problems

The BC method concerns the recovery of information in inverse boundary value problems (BVPs), including hyperbolic, elliptic, and parabolic problems. BC method unification conjecture. The BC method potentially unifies inverse BVPs of all types, namely hyperbolic, elliptic, and parabolic. The preceding results establish direct uniqueness arguments for inverse elliptic and inverse Volterra parabolic BVPs under ellipticity conditions in Schulze’s pseudo-differential operator edge calculus; whether the method extends to unify inverse BVPs of all these types remains a topic for further investigation.