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math.FA2011★ 35 cited
Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
Cristian Cazacu
The aim of this paper is two folded. Firstly, we study the validity of the Pohozaev-type identity for the Schrödinger operator $$A_\la:=-\D -\frac{\la}{|x|^2}, \q \la\in \rr,$$ in…
math.FA2011★ 8 cited
Hardy inequality and Pohozaev identity for operators with boundary singularities: some applications
Cristian Cazacu
We consider the Schrödinger operator $A_ł:=-\D -ł/|x|^2$, $ł\in \rr$, when the singularity is located on the boundary of a smooth domain $Ω\subset \rr^N$, The aim of this…