International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 65287, 9 pages
doi:10.1155/IJMMS/2006/65287
Propagation and cancellation of singularities in a class
of Fuchsian operators and their perturbations
TIFR Centre, Indian Institute of Science, Bangalore 560012, India
Received 6 March 2006; Accepted 12 March 2006
Copyright © 2006 B. R. Nagaraj and Rahul Jain. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We obtain some new necessary conditions for wavefront propagation
in the noninvolutive Fuchsian operator class
t∂2/∂t2+λ(x,Dx)∂/∂t+β(x,Dx). The point of view here is to show that
cancellation of propagation of a new singularity in some
semilinear systems can be arranged by means of Fuchsian
perturbation admitting exact (left and right) microlocal
parametrices.