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Abstract
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We study the low-lying eigenvalues of the semiclassical Witten Laplacian associated to a Morse
function .
Compared to previous works we allow general distributions of critical values of
,
for instance allowing all the local minima to be absolute. The motivation
comes from metastable dynamics described by the Kramers–Smoluchowski
equation.
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Keywords
metastability, semiclassical analysis
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Mathematical Subject Classification 2010
Primary: 35P20
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Milestones
Received: 31 March 2018
Revised: 4 February 2019
Accepted: 6 March 2019
Published: 20 April 2019
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