The Grushin problem for Bismut's hypoelliptic Laplacian

Xingfeng Sang (1) , Francis White (2) , Francis Nier (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 Department of Mathematics [Irvine]

We study in this article the combined asymptotic analysis of Bismut’s hypoelliptic Laplacian, in the high friction b → 0+ and possibly low temperature h → 0+ regimes.

Nous étudions dans cet article l'analyse asymptotique du Laplacien hypoelliptique de Bismut dans le régime d'une grande friction b → 0+ combiné éventuellement avec une basse température h → 0+.

Keywords: Bismut's hypoelliptic Laplacian; Grushin problem and spectral convergence; multiscale analysis; large friction; Low temperature; j

Domains: Analysis of PDEs [math.AP]

Xingfeng Sang, Francis White, Francis Nier. The Grushin problem for Bismut's hypoelliptic Laplacian. 2024. ⟨hal-04572421⟩