International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 2, 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
B.R. Nagaraj
and Rahul Jain
TIFR Centre, Indian Institute of Science, Bangalore 560012, India
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.