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Unique continuation for a class of elliptic operators which degenerate on a manifold of arbitrary codimension. (English) Zbl 0788.35051

Using the Carleman estimates the author proves the uniqueness of the continuation for solutions of the equation \(\Delta_ zu+| z |^{2\alpha} \Delta_ tu=b \nabla u+Vu\) under suitable assumptions on \(b\) and \(V\).

MSC:

35J70 Degenerate elliptic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35B60 Continuation and prolongation of solutions to PDEs
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