# 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

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topFabricant, 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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