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Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
(Journal of Functional Analysis, 2012-12-31)
The aim of this paper is two folded. Firstly, we study the validity of a Pohozaev-type identity for the Schrödinger operator A λ:=-δ-λ/|x| 2, λ∈R, in the situation where the origin is located on the boundary of a smooth ...