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Carleman estimates and unique continuation for the Schrödinger equation. (English) Zbl 0828.35021

Summary: We derive an inequality of Carleman’s type for solutions to Schrödinger’s equation, with singular weight function. As a consequence, we obtain a new unique continuation result for solutions in a bounded domain.

MSC:

35B60 Continuation and prolongation of solutions to PDEs
35J10 Schrödinger operator, Schrödinger equation
35B45 A priori estimates in context of PDEs
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