Publication Cover
Applicable Analysis
An International Journal
Volume 71, 1998 - Issue 1-4
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Original Articles

Precise spectral asymptotics for neumann laplacian in domains with cusps

Domains with cusps

Pages 139-147 | Received 01 Apr 1998, Published online: 20 Jan 2011

References

  • Berger , G. 1993 . Non-classical eigenvalue asymptotic for elliptic operators of second order in unbounded trumpet-shaped domains with Neumann boundary conditions . Math.Nachr , 161 : 345 – 360 .
  • Berger , G. 1994 . Eigenvalue distribution of elliptic operators of second order in domains with infinitely many hooks . Asymptotic Analysis , 8 : 345 – 362 .
  • Davies , E.B. and Simon , B. 1992 . Spectral properties of Neumann Laplacian of horns . Geom. and Func. Anal , 2 : 105 – 117 .
  • Ivrii , V. 1998 . Microlocal Analysis and Precise Spectral Asymptotics , SMM : Springer-Verlag .
  • Jakšić , V. , Molčanov , S. and Simon , B. 1992 . Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps . J. Func. Anal , 106 : 59 – 79 .
  • Solomyak , M. 1997 . On the negative discrete spectrum of the operator for a class of unbounded domains in Rd . CRM Proceedings and Lecture Notes, Centre de Recherches Mathematiques , 12 : 283 – 296 .
  • Solomyak , M. On the discrete spectrum of a class of problems involving the Neumann Laplacian in unbounded domains Advances in Mathematics Edited by: Kuchment , P. and Lin , L. AMS (volume dedicated to 80-th birthday of S.G.Krein-in press

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