Wave equation for sums of squares on compact Lie groups

In this paper we investigate the well-posedness of the Cauchy problem for the wave equation for sums of squares of vector fields on compact Lie groups. We obtain the loss of regularity for solutions to the Cauchy problem in local Sobolev spaces depending on the order to which the Hörmander condition...

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Bibliographic Details
Main Authors: Claudia Garetto, Michael Ruzhansky
Format: Default Article
Published: 2015
Subjects:
Other mathematical sciences not elsewhere classified
Gevrey spaces
Sobolev spaces
Sub-Laplacian
Sum of squares
Wave equation
Well-posedness
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/17278
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