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About small eigenvalues
of the Witten Laplacian
Laurent Michel |
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Vol. 1 (2019), No. 2, 149–206
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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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Authors |
| Laurent Michel | |
| Université de Bordeaux Institut Mathématiques de Bordeaux Talence France |
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