Weak unique continuation, a stability estimate, and a two-dimensional strong unique continuation result are proven for the fourth-order elliptic operator Σ D^4_j + A·D + q using new Carleman estimates.
The stability for the C auchy problem for elliptic equations
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Unique continuation for a non bi-Laplacian fourth order elliptic operator
Weak unique continuation, a stability estimate, and a two-dimensional strong unique continuation result are proven for the fourth-order elliptic operator Σ D^4_j + A·D + q using new Carleman estimates.