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A note on the stability of local zeta functions

Author(s): Dimiter Vassilev
Journal: Proc. Amer. Math. Soc. 134 (2006), 81-91.
MSC (2000): Primary 11S40
Posted: June 14, 2005
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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

DOI: 10.1090/S0002-9939-05-08117-7
PII: S 0002-9939(05)08117-7
Received by editor(s): September 2, 2004
Posted: June 14, 2005
Communicated by: Andreas Seeger
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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