Loop Spaces and the hypoelliptic Laplacian
Copyright policy )Loop Spaces and the hypoelliptic Laplacian
AbstractThe purpose of this paper is to introduce some ideas that motivated the construction of the hypoelliptic Laplacian as a deformation of Hodge theory, which interpolates between Hodge theory and the geodesic flow. Results obtained with Lebeau on the analysis of the hypoelliptic Laplacian are also presented. © 2007 Wiley Periodicals, Inc.
- University of Paris-Saclay France
- University of Paris-Sud France
Partial differential equations on manifolds; differential operators, Hypoelliptic Laplacian, Hypoelliptic equations, loop spaces, Heat and other parabolic equation methods for PDEs on manifolds, Perturbations of PDEs on manifolds; asymptotics
Partial differential equations on manifolds; differential operators, Hypoelliptic Laplacian, Hypoelliptic equations, loop spaces, Heat and other parabolic equation methods for PDEs on manifolds, Perturbations of PDEs on manifolds; asymptotics
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