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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.