Sur le laplacien de Neumann semi-classique avec champ magnétique variable

Nicolas Raymond

Séminaire Équations aux dérivées partielles (2009-2010)

  • page 1-17

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Raymond, Nicolas. "Sur le laplacien de Neumann semi-classique avec champ magnétique variable." Séminaire Équations aux dérivées partielles (2009-2010): 1-17. <http://eudml.org/doc/251180>.

@article{Raymond2009-2010,
author = {Raymond, Nicolas},
journal = {Séminaire Équations aux dérivées partielles},
language = {fre},
pages = {1-17},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Sur le laplacien de Neumann semi-classique avec champ magnétique variable},
url = {http://eudml.org/doc/251180},
year = {2009-2010},
}

TY - JOUR
AU - Raymond, Nicolas
TI - Sur le laplacien de Neumann semi-classique avec champ magnétique variable
JO - Séminaire Équations aux dérivées partielles
PY - 2009-2010
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
SP - 1
EP - 17
LA - fre
UR - http://eudml.org/doc/251180
ER -

References

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  1. H-L. Cycon, R-G. Froese, W. Kirsch, and B. Simon. Schrödinger Operators. Springer-Verlag, 1986. 
  2. M. Dauge and B. Helffer. Eigenvalues variation. I. Neumann problem for Sturm-Liouville operators. Journal of Differential Equations, 104 :243–262, 1993. Zbl0784.34021MR1231468
  3. S. Fournais and B. Helffer. Spectral methods in surface superconductivity. To appear, 2009. Zbl1256.35001MR2662319
  4. B. Helffer and A. Morame. Magnetic bottles in connection with superconductivity. J. Funct. Anal., 185(2) :604–680, 2001. Zbl1078.81023MR1856278
  5. B. Helffer and A. Morame. Magnetic bottles for the Neumann problem  : curvature effects in the case of dimension 3 (general case). Ann. Scient. E. Norm. Sup, 37(4) :105–170, 2004. Zbl1057.35061MR2050207
  6. J. Lafontaine. Introduction aux variétés différentielles. Presses universitaires de Grenoble, 1996. Zbl0872.53001
  7. K. Lu and X.-B. Pan. Surface nucleation of superconductivity in 3-dimension. J. Differential Equations, 168 :386–452, 2000. Zbl0972.35152MR1808455
  8. N. Raymond. On the semi-classical 3D Neumann Laplacian with variable magnetic field. Submitted to Asymptotic Analysis, 2009. Zbl1200.35202
  9. N. Raymond. Sharp Asymptotics for the Neumann Laplacian with Variable Magnetic Field : case of Dimension 2. Annales Henri Poincaré, 10(1) :95–122, 2009. Zbl1210.81034MR2496304
  10. M. Reed and B. Simon. Methods of modern mathematical physics, analysis of operators. Academic Press, 1978. Zbl0459.46001MR493422

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