Pseudodifferential operators on manifolds: a coordinate-free approach

Details Pseudodifferential operators on manifolds: a coordinate-free approach Pseudodifferential operators on manifolds: a coordinate-free approach

2011-06-18

arxiv.org/abs/1106.3637v1

Published in "Partial Differential Equations and Spectral Theory", Operator Theory: Advances and Applications, Vol. 211, 2011

Mathematics

Analysis of PDEs

19 pages

Scientific paper

This is a review of some coordinate-free calculi of pseudodifferential
operators developed in the last years. As an application, we use a
coordinate-free calculus to obtain new results on the behaviour of the spectral
projections of a self-adjoint elliptic second order differential operator under
perturbation of coefficients.

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