Uniform Spectral Estimates for Families of Schrödinger Operators with Magnetic Field of Constant Intensity and Applications

• Nicolas Raymond ^[1]
  1. [1] Université Paris-Sud Laboratoire de Mathématiques
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 12, Nº. 1, 2010, págs. 67-81
• Idioma: inglés
• DOI: 10.4067/S0719-06462010000100007
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• Referencias bibliográficas
  • Agmon, S. (1982). Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of N-body Schrödinger...
  • Almog, Y. (2002). Non linear surface superconductivity for type ii superconductors in the large domain limit. Arch. Rat. Mech. Anal. 165....
  • Almog, Y. (2008). Thin boundary layers of chiral smectics: Calculus of variations and partial differential equations, to appear.
  • Bauman, P,Carme Calderer, M,Liu, C,Phillips, D. (2002). The phase transition between chiral nematic and smectic A* liquid crystals. Arch....
  • Cycon, H-L,Froese, R-G,Kirsch, W,Simon, B. (1986). Schrödinger Operators. Springer-Verlag.
  • de Gennes, P-G. (1995). The physics of liquid crystals. 2. Clarendon Press.
  • Dauge, M,Helffer, B. (1993). Eigenvalues variation: I. Neumann problem for SturmLiouville operators. Journal of Differential Equations. 104....
  • Fournais, S,Helffer, B. (2008). Spectral methods in surface superconductivity, To appear.
  • Helffer, B,Morame, A. (2001). Magnetic bottles in connection with superconductivity. J. Funct. Anal.,. 185. 604-680
  • Helffer, B,Morame, A. (2002). Magnetic bottles for the Neumann problem: The case of dimension 3. Proc. Indian. Sci. 112. 71-84
  • Helffer, B,Morame, A. (2004). Magnetic bottles for the Neumann problem : curvature effects in the case of dimension 3 (general case. Ann....
  • Helffer, B,Pan, X-B. (2008). Reduced Landau-de Gennes functional and surface smectic state of liquid crystals. J. Funct. Anal. 255. 3008-3069
  • Lu, K,Pan, -B. (2000). Surface nucleation of superconductivity in 3-dimension. J. Differential Equations. 168. 386-452
  • Pan, X-B. (2003). Landau-de Gennes model of liquid cristals and critical wave number. Communications in Math. Phys. 239. 343-382
  • Pan, X-B. (2004). Surface superconductivity in 3 dimensions. Trans. Amer. Math. Soc. 356. 3899-3937
  • Pan, X-B. (2006). Landau-De Gennes model of liquid crystals with small Ginzburg-Landau parameter. SIAM J. Math. Anal. 37. 1616-1648