Propagation de l'analycité le long d'une bicaractéristique réelle pour un opérateur totalement caractéristique. (Propagation of analyticity along a real bicharacteristic for a totally characteristic operator)
The author studies the propagation of analytic (Gevrey) singularities of the solution, in the class of continuable distributions, of a totally characteristic differentiable equation. Such a propagation occurs along the bicharacteristics in the compressed cotangent fibre bundle. The compressed analytic wave front set is characterized by means of boundary values of holomorphic functions which satisfy certain quasitempered growth conditions.
boundary values of holomorphic functions
scientific article; zbMATH DE number 4066002
scientific article