On evolution equations for Lie groupoids
Differential Geometry
2020-10-02 v1 Operator Algebras
Abstract
Using the calculus of Fourier integral operators on Lie groupoids developped in [18], we study the fundamental solution of the evolution equation ( t + iP)u = 0 where P is a self adjoint elliptic order one G-pseudodifferential operator on the Lie groupoid G. Along the way, we continue the study of distributions on Lie groupoids done in [17] by adding the reduced C *-algebra of G in the picture and we investigate the local nature of the regularizing operators of [32].
Cite
@article{arxiv.2010.00227,
title = {On evolution equations for Lie groupoids},
author = {Jean-Marie Lescure and Stéphane Vassout},
journal= {arXiv preprint arXiv:2010.00227},
year = {2020}
}