Subcriticality, positivity, and gaugeability of the Schrödinger operator

Zhao, Z.

doi:10.1090/S0273-0979-1990-15965-8

Subcriticality, positivity, and gaugeability of the Schrödinger operator
HTML articles powered by AMS MathViewer

by Z. Zhao PDF

Bull. Amer. Math. Soc. 23 (1990), 513-517

References

K. L. Chung and K. M. Rao, Feynman-Kac functional and the Schrödinger equation, Seminar on Stochastic Processes, 1981 (Evanston, Ill., 1981) Progr. Prob. Statist., vol. 1, Birkhäuser, Boston, Mass., 1981, pp. 1–29. MR 647779
Kai Lai Chung and S. R. S. Varadhan, Kac functional and Schrödinger equation, Studia Math. 68 (1980), no. 3, 249–260. MR 599148, DOI 10.4064/sm-68-3-249-260
M. Cranston, E. Fabes, and Z. Zhao, Conditional gauge and potential theory for the Schrödinger operator, Trans. Amer. Math. Soc. 307 (1988), no. 1, 171–194. MR 936811, DOI 10.1090/S0002-9947-1988-0936811-2
F. Gesztesy and Z. Zhao, On critical and subcritical Sturm-Liouville operators, J. Funct. Anal. 98 (1991), no. 2, 311–345. MR 1111572, DOI 10.1016/0022-1236(91)90081-F
Minoru Murata, Positive solutions and large time behaviors of Schrödinger semigroups, Simon’s problem, J. Funct. Anal. 56 (1984), no. 3, 300–310. MR 743843, DOI 10.1016/0022-1236(84)90079-X
Barry Simon, Large time behavior of the $L^{p}$ norm of Schrödinger semigroups, J. Functional Analysis 40 (1981), no. 1, 66–83. MR 607592, DOI 10.1016/0022-1236(81)90073-2
Barry Simon, Schrödinger semigroups, Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 3, 447–526. MR 670130, DOI 10.1090/S0273-0979-1982-15041-8
Neil Falkner, Feynman-Kac functionals and positive solutions of ${1\over 2}\Delta u+qu=0$, Z. Wahrsch. Verw. Gebiete 65 (1983), no. 1, 19–33. MR 717930, DOI 10.1007/BF00534991
Zhong Xin Zhao, Green function for Schrödinger operator and conditioned Feynman-Kac gauge, J. Math. Anal. Appl. 116 (1986), no. 2, 309–334. MR 842803, DOI 10.1016/S0022-247X(86)80001-4