Theory of self-adjoint operators generated by strongly singular, second- order expression of divergence type

DOI10.1007/BF01081605zbMath0541.47039OpenAlexW2084780525MaRDI QIDQ794258

Yu. B. Orochko

Publication date: 1983

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01081605

zbMATH Keywords

generalized eigenfunctionsintegral kernelelliptic differential operatorsselfadjoint extensionspseudominimal operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) PDEs with low regular coefficients and/or low regular data (35R05) Variational methods for second-order elliptic equations (35J20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

• Self-adjointness of the minimal Schrödinger operator with potential belonging to \(L_{1,\text{loc}}\)
• On the existence of minimal operators for Schrödinger-type differential expressions

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