Finite propagation velocity and essential self-adjointness of certain differential operators

DOI10.1007/BF01077501zbMath0435.47047MaRDI QIDQ1140292

Yu. B. Orochko

Publication date: 1980

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

zbMATH Keywords

Cauchy problemessential self-adjointnessfinite propagation velocity

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for second-order hyperbolic equations (35L15) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Cites Work

• The essential self-adjointness of Schrödinger-type operators
• Schrödinger and Dirac operators with singular potentials and hyperbolic equations
• Essential self-adjointness of powers of generators of hyperbolic equations
• [https://portal.mardi4nfdi.de/wiki/Publication:5807831 The Number of L 2 -Solutions of x � � + q(t)x = 0]

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