Propagation of singularities in the ramified Cauchy problem for a class of operators with non-involutive multiple characteristics
The author considers analytic continuation of holomorphic solutions in the ramified Cauchy problem and in investigates particular the propagation of singularities for \(P(z,D)\), a linear partial differential operator of order 2 which is a generalization of the operator \(z_1D^2_1- z_1D^2_n+ \sum^n_{j= 1}b_jD_j+ c\) of Fuchs type in the sense of Baouendi-Goulaouic. He proved that the solution of the ramified Cauchy problem for \(P(z,D)\) has removable singularities under some conditions.
scientific article; zbMATH DE number 1439848