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Literature cited
B. Simon, “A canonical decomposition for quadratic forms with applications to monotone convergence theorems,” J. Funct. Anal.,28, No. 3, 377–385 (1978).
T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag (1966).
E. M. Landis, Second-Order Equations of Elliptic and Hyperbolic Types [in Russian], Nauka, Moscow (1971).
Yu. A. Semenov, “Smoothness of generalized solutions of the equation\((\lambda - \sum\limits_{ij} {\nabla _i } a_{ij} \nabla _j )u = f\) with continuous coefficients,” Mat. Sib.,18, No. 3, 399–410 (1982).
O. V. Besov, V. P. Il'in, and S. M. Nikol'skii, Integral Representations of Functions and Imbedding Theorems [in Russian], Nauka, Moscow (1975).
H. Leinfelder and C. G. Simader, “Schrödinger operators with singular magnetic vector potentials,” Math. Z.,176, No. 1, 1–19 (1981).
Yu. M. Berezanskii and V. G. Samoilenko, “Self-adjointness of differential operators with finite and infinite numbers of variables and evolution equations,” Usp. Mat. Nauk,36, No. 5, 3–56 (1981).
Yu. B. Orochko, “Finite rate of propagation and essential self-adjointness of certain differential operators,” Funkts. Anal. Prilozhen.,13, No.3, 95–96 (1979).
M. A. Perel'muter and Yu. A. Semenov, “Finiteness of rate of propagates of perturbations for hyperbolic equations,” Ukr. Mat. Zh.,36, No. 1, 56–63 (1984).
Yu. B. Orocko, “Self-adjointness of the minimal Schrödinger operator with potential belonging to L 1loc ,” Rep. Math. Phys.,15, No. 2, 163–172 (1979).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 2, pp. 191–197, March–April, 1985.
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Perel'muter, M.A., Semenov, Y.A. Essential self-adjointness of second-order elliptic operator with measurable coefficients. Ukr Math J 37, 163–168 (1985). https://doi.org/10.1007/BF01059712
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DOI: https://doi.org/10.1007/BF01059712