The selfadjointness of elliptic operators and energy type estimates in all of \(R^ n\). I: The second order

DOI10.1007/BF01097278zbMath0783.47033OpenAlexW1971969625MaRDI QIDQ1179921

F. S. Rofe-Beketov

Publication date: 27 June 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01097278

zbMATH Keywords

Schrödinger operatorsecond order elliptic operatorsessential selfadjointnesssummability conditionselliptic partial differential operatorDirichlet integralsGårding-type inequalities

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Strongly continuous semigroups of operators generated by systems of pseudodifferential operators in weighted \(L_p\)-spaces ⋮ On the essential self-adjointness of Schrödinger operators with locally integrable potentials ⋮ Selfadjointness of elliptic differential operators in $L_2(G)$, and correction potentials

Cites Work

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• A criterion for self-adjointness of singular elliptic differential operators

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