International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 65287, 9 pages

Propagation and cancellation of singularities in a class of Fuchsian operators and their perturbations

B. R. Nagaraj and Rahul Jain

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.


We obtain some new necessary conditions for wavefront propagation in the noninvolutive Fuchsian operator class t2/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.