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Liouville-type results and theC t80 -core property for products of elliptic operators

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References

  1. T.Carleman, Sur la theorie mathematique de l'equation de Schroediger. Ark. Mat. Astr. Fys. (11)24B (1934).

  2. P. Chernoff, Essential self-adjointness of powers of generators of hyperbolic equations. J. Funct. Anal.12, 402–414 (1973).

    Google Scholar 

  3. H. O.Cordes, Spectral theory of linear differential operators and comparison algebras. London Math. Soc. Lecture Notes, Cambridge, to appear.

  4. H. O. Cordes, Self-adjointness of powers of elliptic operators on noncompact manifolds. Math. Ann.195, 257–272 (1972).

    Google Scholar 

  5. A. Devinatz, Essential self-adjointness of Schroedinger operators. J. Funct. Anal.25, 51–69 (1977).

    Google Scholar 

  6. J. Frehse, Essential self-adjointness of singular elliptic operators. Bol. Soc. Brasil. Mat.8.2, 87–107 (1977).

    Google Scholar 

  7. M. P. Gaffney, A special Stoke's theorem for complete Riemannian manifolds. Ann. of Math.60, 140–145 (1954).

    Google Scholar 

  8. T. Kato, A remark to the preceeding paper by Chernoff. J. Funct. Anal.12, 415–417 (1973).

    Google Scholar 

  9. J. Rauch andM. Taylor, Essential self-adjointness of powers of generators of hyperbolic mixed problems. J. Funct. Anal.12, 491–493 (1973).

    Google Scholar 

  10. F. Rellich, Halbbeschränkte Differentialoperatoren höherer Ordnung. Proc. Intenat. Congr. Math. Amsterdam3, 244 (1954).

    Google Scholar 

  11. W. Roelcke, Über den Laplace-Operator auf Riemannschen Mannigfaltigkeiten mit diskontinuierlichen Gruppen. Math. Nachr.21, 132–149 (1960).

    Google Scholar 

  12. H. Weyl, Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen. Math. Ann.68, 220–269 (1910).

    Google Scholar 

  13. E. Wienholtz, Halbbeschränkte partielle Differentialoperatoren vom elliptischen Typus. Math. Ann.135, 50–80 (1958).

    Google Scholar 

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Author notes

  1. M. Arsenović

    Present address: Department of Mathematics, Yale University, Yale Station, Box 2155, 06520, New Haven, CT, USA

  2. H. O. Cordes

    Present address: Department of Mathematics, University of California, 94720, Berkeley, California, USA

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    1. M. Arsenović
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    2. H. O. Cordes
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    Arsenović, M., Cordes, H.O. Liouville-type results and theC t80 -core property for products of elliptic operators. Arch. Math 52, 492–499 (1989). https://doi.org/10.1007/BF01198357

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    • DOI: https://doi.org/10.1007/BF01198357

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