About small eigenvalues of the Witten Laplacian
Copyright policy )About small eigenvalues of the Witten Laplacian
We study the eigenvalues of the semiclassical Witten Laplacian $Δ_ϕ$ associated to a potential $ϕ$. We consider the case where the sequence of Arrhenius numbers $S_1\leq \ldots\leq S_n$ associated to $ϕ$ is degenerated, that is the preceding inequality are not necessarily strict.
58 pages, 10 figures
- University of Bordeaux France
- University of Bordeaux France
- Institut de Mathématiques de Bordeaux France
- Nice Sophia Antipolis University France
metastability, Second-order elliptic equations, Kramers-Smoluchovski equation, Mathematics - Analysis of PDEs, Asymptotic distributions of eigenvalues in context of PDEs, 35P20, FOS: Mathematics, semiclassical analysis, Analysis of PDEs (math.AP)
metastability, Second-order elliptic equations, Kramers-Smoluchovski equation, Mathematics - Analysis of PDEs, Asymptotic distributions of eigenvalues in context of PDEs, 35P20, FOS: Mathematics, semiclassical analysis, Analysis of PDEs (math.AP)
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