Abstract

In this paper, we show how the radial operators introduced in can be used to give a proof using commutation methods of the propagation of polyhomogeneity for conormal solutions to semi-linear equations. That conormal solutions remain conormal was first proven by Bony in, and Melrose and Ritter later showed in that the result could be proven by using testing and commutation methods. Ranch and Reed in later showed that for a suitable notion of polyhomogeneity that polyhomogeneity was also preserved for first order systems. This was later reprover and generalized by Piriou in using symbolic methods. 14 refs.

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