Microhyperbolic operators in Gevrey classes
This paper considers microhyperbolic operators in Gevrey classes and proves the microlocal well-posedness of the microlocal Cauchy problem. It also establishes theorems on the propagation of singularities for microhyperbolic operators. The methods show one how to obtain microlocal results (e.g. well-posedness and a microlocal version of Holmgren's uniqueness theorem) from the methods used to prove well-posedness of the Cauchy problem. Theorems on the propagation of singularities are consequences of a microlocal Holmgren theorem using generalised Hamiltonian flows.
scientific article; zbMATH DE number 4157158
scientific article