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Unique continuation for Schrödinger operators with potential in Morrey spaces.

Alberto Ruiz, Luis Vega (1991)

Publicacions Matemàtiques

Let us consider in a domain Ω of Rn solutions of the differential inequality|Δu(x)| ≤ V(x)|u(x)|, x ∈ Ω,where V is a non smooth, positive potential.We are interested in global unique continuation properties. That means that u must be identically zero on Ω if it vanishes on an open subset of Ω.

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