Lower bounds for eigenfunctions of the Schrödinger operator

Werner O. Amrein

Journées équations aux dérivées partielles (1984)

  • page 1-9
  • ISSN: 0752-0360

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Amrein, Werner O.. "Bornes inférieurs pour des fonctions propres de l'opérateur de Schrödinger." Journées équations aux dérivées partielles (1984): 1-9. <http://eudml.org/doc/93112>.

@article{Amrein1984,
author = {Amrein, Werner O.},
journal = {Journées équations aux dérivées partielles},
keywords = {Schrödinger operator; lower bound; point spectrum; weighted - space},
language = {fre},
pages = {1-9},
publisher = {Ecole polytechnique},
title = {Bornes inférieurs pour des fonctions propres de l'opérateur de Schrödinger},
url = {http://eudml.org/doc/93112},
year = {1984},
}

TY - JOUR
AU - Amrein, Werner O.
TI - Bornes inférieurs pour des fonctions propres de l'opérateur de Schrödinger
JO - Journées équations aux dérivées partielles
PY - 1984
PB - Ecole polytechnique
SP - 1
EP - 9
LA - fre
KW - Schrödinger operator; lower bound; point spectrum; weighted - space
UR - http://eudml.org/doc/93112
ER -

References

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  1. [1] Sh. Agmon, Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations, Princeton University Press (1982). Zbl0503.35001
  2. [2] C. Bardos et M. Merigot, Proc. Roy. Soc. Edinburgh, Sect. A 76, 323-344 (1977) Zbl0351.35009MR57 #16959
  3. [3] R. Froese, I. Herbst, M. Hoffmann-Ostenhof et T. Hoffmann-Ostenhof, Proc. Roy. Soc. Edinburgh, Sect. A 95, 25-38 (1983). Zbl0547.35038MR86a:35044
  4. [4] M. Reed et B. Simon, Analysis of Operators, Academic Press, New York (1978) ; Section XIII.11. Zbl0401.47001
  5. [5] L. Hörmander, The Analysis of Linear Partial Differential Operators II, Springer, Berlin (1983) ; Section 14.7. Zbl0521.35002
  6. [6] W.O. Amrein, A.M. Berthier et V. Georgescu, Lower Bounds for Zero Energy Eigenfunctions of Schrödinger Operators, à paraître dans Helv. Phys. Acta (1984). Zbl0618.35086
  7. [7] A. Hinz, Math. Zeitschr. 185, 291-304 (1984). Zbl0513.35009MR86e:35118
  8. [8] D. Jerison et C.E. Kenig, Unique Continuation and Absence of Positive Eigen-values for the Schrödinger Operator, à paraître. Zbl0593.35119
  9. [9] R.A. Adams, Sobolev Spaces, Academic Press, New York (1975) ; Chapitre 5. Zbl0314.46030MR56 #9247
  10. [10] E.M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press (1970) ; Theorem V.3. Zbl0207.13501MR44 #7280
  11. [11] W.O. Amrein, A.M. Berthier et V. Georgescu, Ann. Inst. Fourier 31, 153-168 (1981). Zbl0468.35017MR83g:35011
  12. [12] M. Schechter et B. Simon, J. Math. Anal. Appl. 77, 482-492 (1980). Zbl0458.35024MR83b:35031

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