Unique continuation for Schrödinger operators with potential in Morrey spaces.
Ruiz, Alberto ; Vega, Luis
Publicacions Matemàtiques, Tome 35 (1991), p. 291-298 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1991-01-01
DMLE-ID : 4188 
@article{urn:eudml:doc:41691,
     title = {Unique continuation for Schr\"odinger operators with potential in Morrey spaces.},
     journal = {Publicacions Matem\`atiques},
     volume = {35},
     year = {1991},
     pages = {291-298},
     mrnumber = {MR1103622},
     zbl = {0809.47046},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41691}
}

Ruiz, Alberto; Vega, Luis. Unique continuation for Schrödinger operators with potential in Morrey spaces.. Publicacions Matemàtiques, Tome 35 (1991) pp. 291-298. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41691/