Self-adjointness conditions for Dirichlet operators. (English. Russian original) Zbl 0729.47044
Ukr. Math. J. 42, No. 2, 253-257 (1990); translation from Ukr. Mat. Zh. 42, No. 2, 284-289 (1990).
The purpose of the paper is to establish criteria for the existence of selfadjointness of Dirichlet operators associated with Dirichlet forms in a Hilbert space. So the operator \(\hat H=-(\nabla +\beta)\nabla +V\) is discussed in \(C^ 2_ 0(H_ -)\).
Reviewer: A.Haimovici (Iaşi)
MSC:
| 47F05 | General theory of partial differential operators |
| 47B25 | Linear symmetric and selfadjoint operators (unbounded) |
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
References:
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