Boundary values of smooth solutions of degenerate parabolic systems of the Kolmogorov type

Abstract

For vector-order degenerate parabolic systems of the Kolmogorov-type, we describe the sets of generalized functions, like Gevrey distributions, that are boundary values on the initial hyperplane of ordinary solutions to the systems, with the solutions belonging to L. Schwartz's and Gelfand and Shilov's spaces.