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

Shuichi Jimbo; Masato Kimura; Hirofumi Notsu

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arXiv · 0802.1111

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

Shuichi Jimbo·Masato Kimura·Hirofumi Notsu

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Abstract

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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Shuichi Jimbo, Masato Kimura, Hirofumi Notsu. 2008-02-18. Exponential decay phenomenon of the principal eigenvalue of an elliptic operator with a large drift term of gradient type. https://arxiv.org/abs/0802.1111

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