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Volumn 128, Issue 1, 1998, Pages 95-106

On the essential self-adjointness of Schrödinger operators with locally integrable potentials

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EID: 21944434706     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500027177     Document Type: Article
Times cited : (5)

References (29)
  • 1
    • 0012231749 scopus 로고
    • 'Localized' self-adjointness of Schrödinger operators
    • H. Brézis. 'Localized' self-adjointness of Schrödinger operators. J. Operator Theory 1 (1979), 287-90.
    • (1979) J. Operator Theory , vol.1 , pp. 287-290
    • Brézis, H.1
  • 2
    • 0001735158 scopus 로고
    • Remarks on the Schrödinger operator with singular complex potentials
    • H. Brézis and T. Kato. Remarks on the Schrödinger operator with singular complex potentials. J. Math. Pures Appl. (9) 58 (1979), 137-51.
    • (1979) J. Math. Pures Appl. , vol.58 , Issue.9 , pp. 137-151
    • Brézis, H.1    Kato, T.2
  • 4
    • 0016881518 scopus 로고
    • The essential self-adjointness of Schrödinger-type operators
    • M. S. P. Eastham, W. D. Evans and J. B. McLeod. The essential self-adjointness of Schrödinger-type operators. Arch. Rational Mech. Anal. 60 (1976), 185-204.
    • (1976) Arch. Rational Mech. Anal. , vol.60 , pp. 185-204
    • Eastham, M.S.P.1    Evans, W.D.2    McLeod, J.B.3
  • 5
    • 2242468714 scopus 로고
    • On the strong and weak limit-point classification of second-order differential expressions
    • W. N. Everitt, M. Giertz and J. B. McLeod. On the strong and weak limit-point classification of second-order differential expressions. Proc. London Math. Soc. (3) 29 (1974), 142-58.
    • (1974) Proc. London Math. Soc. , vol.29 , Issue.3 , pp. 142-158
    • Everitt, W.N.1    Giertz, M.2    McLeod, J.B.3
  • 6
    • 0006768965 scopus 로고
    • Commutators and self-adjointness of Hamiltonian operators
    • W. Faris and R. Lavine. Commutators and self-adjointness of Hamiltonian operators. Comm. Math. Phys. 35 (1974), 39-48.
    • (1974) Comm. Math. Phys. , vol.35 , pp. 39-48
    • Faris, W.1    Lavine, R.2
  • 8
    • 0040916364 scopus 로고
    • Regularity of solutions for singular Schrödinger equations
    • A. M. Hinz. Regularity of solutions for singular Schrödinger equations. Rev. Math. Phys. 4 (1992), 95-161.
    • (1992) Rev. Math. Phys. , vol.4 , pp. 95-161
    • Hinz, A.M.1
  • 9
    • 0001777699 scopus 로고
    • Gauss's theorem and the self-adjointness of Schrödinger operators
    • H. Kalf. Gauss's theorem and the self-adjointness of Schrödinger operators. Ark. Mat. 18 (1980), 19-47.
    • (1980) Ark. Mat. , vol.18 , pp. 19-47
    • Kalf, H.1
  • 10
    • 0001660531 scopus 로고
    • On the spectral theory of Schrödinger and Dirac operators with strongly singular potentials
    • Spectral Theory and Differential Equations, ed. W. N. Everitt, Berlin: Springer
    • H. Kalf, U.-W. Schmincke, J. Walter and R. Wüst. On the spectral theory of Schrödinger and Dirac operators with strongly singular potentials. In Spectral Theory and Differential Equations, ed. W. N. Everitt, Lecture Notes in Mathematics 448, 182-226 (Berlin: Springer, 1975).
    • (1975) Lecture Notes in Mathematics , vol.448 , pp. 182-226
    • Kalf, H.1    Schmincke, U.-W.2    Walter, J.3    Wüst, R.4
  • 12
    • 0012283837 scopus 로고
    • A second look at the essential self-adjointness of the Schrödinger operators
    • eds C. P. Enz and J. Mehra, Dordrecht: D. Reidel
    • T. Kato. A second look at the essential self-adjointness of the Schrödinger operators. In Physical Reality and Mathematical Description, eds C. P. Enz and J. Mehra, 193-201 (Dordrecht: D. Reidel, 1974).
    • (1974) Physical Reality and Mathematical Description , pp. 193-201
    • Kato, T.1
  • 13
    • 0012334575 scopus 로고
    • On the existence of minimal operators for Schrödinger-type differential expressions
    • I. Knowles. On the existence of minimal operators for Schrödinger-type differential expressions. Math. Ann. 233 (1978), 221-7.
    • (1978) Math. Ann. , vol.233 , pp. 221-227
    • Knowles, I.1
  • 14
    • 33747391295 scopus 로고
    • Local essential self-adjointness for singular elliptic operators
    • K. Kreith. Local essential self-adjointness for singular elliptic operators. SIAM J. Appl. Math. 19 (1970), 51-5.
    • (1970) SIAM J. Appl. Math. , vol.19 , pp. 51-55
    • Kreith, K.1
  • 15
    • 0001531966 scopus 로고    scopus 로고
    • Conditions for selfadjointness of the Schrödinger and Dirac operators
    • B. M. Levitan and M. Otelbaev. Conditions for selfadjointness of the Schrödinger and Dirac operators. Trans. Moscow Math. Soc. 1982, no. 2, 139-56.
    • Trans. Moscow Math. Soc. , vol.1982 , Issue.2 , pp. 139-156
    • Levitan, B.M.1    Otelbaev, M.2
  • 16
    • 85034184040 scopus 로고
    • Smoothness of generalized solutions of the Schrödinger equation, and deficiency indices
    • R. Riegel (Hrsg.), Wissensch. Beitr. 46, Halle (Saale): Martin-Luther-Univ. Halle-Wittenberg, in Russian
    • Kh. Kh. Murtazin. Smoothness of generalized solutions of the Schrödinger equation, and deficiency indices. In Asymptotische Methoden in der Analysis, R. Riegel (Hrsg.), Wissensch. Beitr. 46, 75-84 (Halle (Saale): Martin-Luther-Univ. Halle-Wittenberg, 1988 (in Russian)).
    • (1988) Asymptotische Methoden in der Analysis , pp. 75-84
    • Murtazin, K.K.1
  • 17
    • 33747446342 scopus 로고
    • A remark on the essential self-adjointness of a Schrödinger operator with a singular potential
    • Yu. B. Orochko. A remark on the essential self-adjointness of a Schrödinger operator with a singular potential. Math. Notes 20 (1976), 877-81.
    • (1976) Math. Notes , vol.20 , pp. 877-881
    • Orochko, Yu.B.1
  • 18
    • 0142129778 scopus 로고
    • The hyperbolic equation method in the theory of operators of Schrödinger type with a locally integrable potential
    • Yu. B. Orochko. The hyperbolic equation method in the theory of operators of Schrödinger type with a locally integrable potential. Russian Math. Surveys 43(2) (1988), 51-102.
    • (1988) Russian Math. Surveys , vol.43 , Issue.2 , pp. 51-102
    • Orochko, Yu.B.1
  • 22
    • 0006848876 scopus 로고
    • Conditions for the self-adjointness of the Schrödinger operator
    • F. S. Rofe-Beketov. Conditions for the self-adjointness of the Schrödinger operator. Math. Notes 8 (1970), 888-94.
    • (1970) Math. Notes , vol.8 , pp. 888-894
    • Rofe-Beketov, F.S.1
  • 24
    • 0012321269 scopus 로고    scopus 로고
    • On the self-adjointness of non-semibounded Schrödinger operators
    • in Russian
    • F. S. Rofe-Beketov and H. Kalf. On the self-adjointness of non-semibounded Schrödinger operators. Matematychni Studiï 7 (1997), 53-8 (in Russian).
    • (1997) Matematychni Studiï , vol.7 , pp. 53-58
    • Rofe-Beketov, F.S.1    Kalf, H.2
  • 25
    • 84966224416 scopus 로고
    • The spectrum of the Schrödinger operators
    • M. Schechter. The spectrum of the Schrödinger operators. Trans. Amer. Math. Soc. 312 (1989), 115-28.
    • (1989) Trans. Amer. Math. Soc. , vol.312 , pp. 115-128
    • Schechter, M.1
  • 26
    • 33747400637 scopus 로고
    • Multiplication operators
    • M. Schechter. Multiplication operators. Canad. J. Math. 41 (1989), 234-49.
    • (1989) Canad. J. Math. , vol.41 , pp. 234-249
    • Schechter, M.1
  • 27
    • 84963089815 scopus 로고
    • Proofs of Povzner-Wienholtz type theorems on selfadjointness of Schrödinger operators by means of positive eigensolutions
    • U.-W. Schmincke. Proofs of Povzner-Wienholtz type theorems on selfadjointness of Schrödinger operators by means of positive eigensolutions. Bull. London Math. Soc. 23 (1991), 263-6.
    • (1991) Bull. London Math. Soc. , vol.23 , pp. 263-266
    • Schmincke, U.-W.1
  • 28
    • 0001862903 scopus 로고
    • Essential self-adjointness of Schrödinger operators bounded from below
    • C. G. Simader. Essential self-adjointness of Schrödinger operators bounded from below. Math. Z. 159 (1978), 47-50.
    • (1978) Math. Z. , vol.159 , pp. 47-50
    • Simader, C.G.1


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