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Subcriticality, positivity, and gaugeability of the Schrödinger operator
Author(s):
Z.
Zhao
Journal:
Bull. Amer. Math. Soc.
23
(1990),
513-517.
MSC (1985):
Primary 81C20
MathSciNet review:
1043084
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References |
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Additional information
References:
- 1.
- K. L. Chung and M. Rao, Feynman-Kac functional and the Schrödinger equation, Seminar on Stochastic Processes, Birkhäuser, Boston, 1981. MR 647779
- 2.
- K. L. Chung and S. R. S. Varadhan, Kac functional and Schrödinger equation, Studia Math., T. LXVIII (1980), 249-260. MR 599148
- 3.
- M. Cranston, E. Fabes, and Z. Zhao, Conditional gauge and potential theory for the Schrödinger operator, Trans. Amer. Math. Soc. 307 ( 1988), 171 -194. MR 936811
- 4.
- F. Gesztesy and Z. Zhao, On critical and subcritical Sturm-Liouville operators, J. Funct. Anal (to appear). MR 1111572
- 5.
- M. Murata, Positive solutions and large time behavior of Schrödinger semigroups, Simon's problem, J. Funct. Anal. 56 (1984), 300-310. MR 743843
- 6.
- M. Murata, Structure of positive solutions to (—Δ + V)u = 0 in R, Duke Math J. 53 (1986), 869-943.
- 7.
- B. Simon, Large time behavior of the L, J. Funct. Anal. 40 (1981), 66-83. MR 607592
- 8.
- B. Simon, Schrödinger semigroups, Bull. Amer. Math. Soc. 7 (1982), 447-526. MR 670130
- 9.
- Z. Zhao, Conditional gauge and unbounded potential, Z. Wahrsch. Verw. Gebiete 65 (1983), 13-18. MR 717929
- 10.
- Z. Zhao, Green function for Schrödinger operator and conditioned Feynman-Kac gauge, J. Math. Anal. Appl. 116 (1986), 309-334. MR 842803
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15965-8
PII:
S 0273-0979(1990)15965-8
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