Makhlouf Derridj

On the microlocal regularity of the Gevrey vectors for second order partial differential operators with non negative characteristic form of first kind

Abstract We study the microlocal regularity of the analytic/Gevrey vectors for the following class of second order partial differential equations $$\begin{aligned} P(x,D) = \sum _{\ell ,j=1}^{n} a_{\ell ,j}(x) D_{\ell } D_{j} + \sum _{\ell =1}^{n} i b_{\ell }(x) D_{\ell } +c(x),...