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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on the stability of local zeta functions
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by Dimiter Vassilev PDF
Proc. Amer. Math. Soc. 134 (2006), 81-91 Request permission

Abstract:

We show the existence of an interval of stability under small perturbations of local zeta functions corresponding to non-trivial local solutions of an elliptic equation with Lipschitz coefficients. Résumé. Nous démontrons l’existence d’un intervalle de stabilité pour la fonction zêta associée à une équation uniformément elliptique du second ordre à coefficients lipschitziens.
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Additional Information
  • Dimiter Vassilev
  • Affiliation: CRM/ISM - UQAM, C.P. 8888, succursale Centre-Ville, Montréal, Québec, Canada H3C 3P8 – and – Mathematical Science Department, University of Arkansas, Fayetteville, Arkansas 72703
  • Email: vassilev@math.uqam.ca
  • Received by editor(s): September 2, 2004
  • Published electronically: June 14, 2005
  • Communicated by: Andreas Seeger
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 81-91
  • MSC (2000): Primary 11S40
  • DOI: https://doi.org/10.1090/S0002-9939-05-08117-7
  • MathSciNet review: 2170546