The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form

Fabricant, Alexander; Kutev, Nikolai; Rangelov, Tsviatko

Serdica Mathematical Journal (2007)

  • Volume: 33, Issue: 1, page 47-58
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 35J70, 35P15.The asymptotic of the first eigenvalue for linear second order elliptic equations in divergence form with large drift is studied. A necessary and a sufficient condition for the maximum possible rate of the first eigenvalue is proved.

How to cite

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Fabricant, Alexander, Kutev, Nikolai, and Rangelov, Tsviatko. "The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form." Serdica Mathematical Journal 33.1 (2007): 47-58. <http://eudml.org/doc/281377>.

@article{Fabricant2007,
abstract = {2000 Mathematics Subject Classification: 35J70, 35P15.The asymptotic of the first eigenvalue for linear second order elliptic equations in divergence form with large drift is studied. A necessary and a sufficient condition for the maximum possible rate of the first eigenvalue is proved.},
author = {Fabricant, Alexander, Kutev, Nikolai, Rangelov, Tsviatko},
journal = {Serdica Mathematical Journal},
keywords = {Linear Elliptic Equations; Eigenvalue Problem; Asymptotic Behavior; Dynamical Systems; linear elliptic equations; eigenvalue problem; asymptotic behavior; dynamical systems},
language = {eng},
number = {1},
pages = {47-58},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form},
url = {http://eudml.org/doc/281377},
volume = {33},
year = {2007},
}

TY - JOUR
AU - Fabricant, Alexander
AU - Kutev, Nikolai
AU - Rangelov, Tsviatko
TI - The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form
JO - Serdica Mathematical Journal
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 33
IS - 1
SP - 47
EP - 58
AB - 2000 Mathematics Subject Classification: 35J70, 35P15.The asymptotic of the first eigenvalue for linear second order elliptic equations in divergence form with large drift is studied. A necessary and a sufficient condition for the maximum possible rate of the first eigenvalue is proved.
LA - eng
KW - Linear Elliptic Equations; Eigenvalue Problem; Asymptotic Behavior; Dynamical Systems; linear elliptic equations; eigenvalue problem; asymptotic behavior; dynamical systems
UR - http://eudml.org/doc/281377
ER -

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