Majoration de multiplicité pour l'opérateur de Schrödinger

Colette Anné

Séminaire de théorie spectrale et géométrie (1989-1990)

  • Volume: 8, page 53-62
  • ISSN: 1624-5458

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Anné, Colette. "Majoration de multiplicité pour l'opérateur de Schrödinger." Séminaire de théorie spectrale et géométrie 8 (1989-1990): 53-62. <http://eudml.org/doc/114300>.

@article{Anné1989-1990,
author = {Anné, Colette},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {multiplicity for the Schrödinger operator},
language = {fre},
pages = {53-62},
publisher = {Institut Fourier},
title = {Majoration de multiplicité pour l'opérateur de Schrödinger},
url = {http://eudml.org/doc/114300},
volume = {8},
year = {1989-1990},
}

TY - JOUR
AU - Anné, Colette
TI - Majoration de multiplicité pour l'opérateur de Schrödinger
JO - Séminaire de théorie spectrale et géométrie
PY - 1989-1990
PB - Institut Fourier
VL - 8
SP - 53
EP - 62
LA - fre
KW - multiplicity for the Schrödinger operator
UR - http://eudml.org/doc/114300
ER -

References

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  1. [A] ARONSZAJN N. - A unique continuation theorem for solutions of elliplic partial differential equations or inequalities of second order, J. Math. Pures Appl., 36 ( 1957), 235-249. Zbl0084.30402MR92067
  2. [An] ANNÉ C. - Bornes sur la multiplicité, à paraître, 1990. 
  3. [B] BESSON G.. - Sur la multiplicité de la première valeur propre des surfaces riemanniennes, Ann. Inst. Fourier (Grenoble), 30, 1 ( 1980), 109-128. Zbl0417.30033MR576075
  4. [C] CHENG S.Y. - Eigenfunctions and nodal sets, Comment. Math. Helv., 51 ( 1976), 43-55. Zbl0334.35022MR397805
  5. [CH] COURANT R., HILBERT G. - Methods of Mathematical Physics, Tome 1, New-York Interscience, 1953. Zbl0051.28802
  6. [CdV] COLIN DE VERDIÈRE Y. - Construction de Laplaciens dont une partie du spectre est donnée, Ann. Sci. École Norm. Sup., XX ( 1987), 599-615. Zbl0636.58036
  7. [N] NADIRASHVILI N.S. - Multiple eigenvalues of the Laplace Operator, Math. USSR Sbomik, 61,1 ( 1988), 225-238. Zbl0672.35049MR905007
  8. [P] PEETRE J.- A generalization of Courant's nodal domain theorem. Math. Scand., 5 ( 1957), 15-20. Zbl0077.30101MR92917
  9. [PS] POLYA G., SZEGÖ G. - Isoperimetric inequalities in mathematical physics, Ann. of Math. Studies, n°27, Princeton University Press, Princeton, 1951. Zbl0044.38301MR43486
  10. [W] WEINBERGER H.F. - An isoperimetric inequality for the N-dimensional free membrane problem, J. Rational Mech. Anal., 5 ( 1956), 613-623. Zbl0071.09902MR79286

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