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Uniqueness of Schrödinger Operators Restricted in a Domain

✍ Scribed by Wu Liming

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
487 KB
Volume
153
Category
Article
ISSN
0022-1236

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✦ Synopsis

Let S := &2Â2+V be the Schro dinger's operator defined on C 0 (D) where D is a (open) domain in R d . By means of the asymptotic behavior of V near the boundary D, we give the necessary and sufficient conditions to the essential Markovian selfadjointness of S for the nonnegative potential V, and to the uniqueness of S in L 1 (D) for general V.

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