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Admissible and regular potentials for positiveC 0-semigroups and application to heat semigroups

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References

  1. A. Devinatz,Schrödinger operators with singular potentials, J. Operator Theory4 (1980), 25–35.

    MATH  MathSciNet  Google Scholar 

  2. W. G. Faris, “Self-adjoint operators,” Lect. Notes in Math. (433), Springer-Verlag, Berlin, 1975.

    MATH  Google Scholar 

  3. T. Kato,L p-theory of Schrödinger operators with a singular potential, In: “Aspects of Positivity in Functional Analysis,” R. Nagel, U. Schlotterbeck, M. P. H. Wolff (eds.), Elsivier, 1986.

  4. V. F. Kovalenko and Yu. A. Semenov,Towards the theory of Schrödinger semigroups. I, Ukrainian Math. J.41 (1989), no. 2, 246–249.

    Article  MATH  MathSciNet  Google Scholar 

  5. A. Pazy, “Semigroups of Linear Operators and Applications to Partial Differential Equations,” Springer-Verlag, New York, 1983.

    MATH  Google Scholar 

  6. M. Reed and B. Simon, “Methods of Modern Mathematical, Physics. I: Functional Analysis,” revised and enlarged ed., Academic Press, New York, 1980.

    MATH  Google Scholar 

  7. M. Reed and B. Simon, “Methods of Modern matheamtical Physics. II: Fourier Analysis, Self-adjointness,” Academic Press, New York, 1975.

    Google Scholar 

  8. Yu. A. Semonov,Schrödinger operators with L ploc -potentials, Comm. Math. Phys.53 (1977), 277–284.

    Article  MathSciNet  Google Scholar 

  9. B. Simon,Schrödinger semigroups, Bull. Amer. Math. Soc. (N.S.)7 (1982), 447–526.

    Article  MATH  MathSciNet  Google Scholar 

  10. P. Stollmann,Admissible and regular potentials for Schrödinger forms, J. Operator Theory18 (1987), 139–151.

    MATH  MathSciNet  Google Scholar 

  11. P. Stollmann and J. Voigt,A regular potential which is nowhere in L 1, Lett. Math. Phys.9 (1985), 227–230.

    Article  MATH  MathSciNet  Google Scholar 

  12. J. Voigt,Absorption semigroups, their generators, and Schrödinger semigroups, J. Funct. Anal.67 (1986), 167–205.

    Article  MATH  MathSciNet  Google Scholar 

  13. J. Voigt,Absorption semigroups, J. Operator Theory20 (1988), 117–131.

    MATH  MathSciNet  Google Scholar 

  14. W. P. Ziemer, “Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation,” Springer-Verlag, New York, 1989.

    MATH  Google Scholar 

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Communicated by J. A. Goldstein

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Ishikawa, M. Admissible and regular potentials for positiveC 0-semigroups and application to heat semigroups. Semigroup Forum 48, 96–106 (1994). https://doi.org/10.1007/BF02573657

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