Exponential decay phenomenon of the principal eigenvalue of an elliptic operator with a large drift term of gradient type

Details Exponential decay phenomenon of the principal eigenvalue of an elliptic operator with a large drift term of gradient type Exponential decay phenomenon of the principal eigenvalue of an elliptic operator with a large drift term of gradient type

2008-02-08

arxiv.org/abs/0802.1111v2

Mathematics

Analysis of PDEs

25 pages, 24 figures

Scientific paper

We study an asymptotic behaviour of the principal eigenvalue for an elliptic
operator with large advection which is given by a gradient of a potential
function. It is shown that the principal eigenvalue decays exponentially under
the velocity potential well condition as the parameter tends to infinity.

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