Geodesic
Minimal Operators for Schrodinger-Type Differential Expressions with Discontinuous Principal Coefficients
Canadian journal of mathematics, Tome 32 (1980) no. 6, pp. 1423-1437

Voir la notice de l'article provenant de la source Cambridge University Press

The objective of this paper is to extend the recent results [7, 8, 9] concerning the self-adjointness of Schrödinger-type operators with singular potentials to a more general setting. We shall be concerned here with formally symmetric elliptic differential expressions of the form 1.1 where x = (x 1, ..., xm) ∈ R m (and m ≧ 1), i = (–1)1/2, ∂ j = ∂/∂x j, and the coefficients a jk , b j and q are real-valued and measurable on R m.The basic problem that we consider is that of deciding whether or not the formal operator defined by (1.1) determines a unique self-adjoint operator in the space L 2(R m ) of (equivalence classes of) square integrable complex-valued functions on R m . 
Faierman, M.; Knowles, I. Minimal Operators for Schrodinger-Type Differential Expressions with Discontinuous Principal Coefficients. Canadian journal of mathematics, Tome 32 (1980) no. 6, pp. 1423-1437. doi: 10.4153/CJM-1980-112-4
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