FUNDAMENTAL SOLUTION OF THE CAUCHY PROBLEM FOR {p , h }-PARABOLIC SYSTEMS WITH VARIABLE COEFFICIENTS

摘要

We define a class of parabolic systems of partial differential equations and substantiate theirh{p , h }-parabolicity. We study the properties of the spatial behavior of fundamental solutions of the Cauchy problem for {p , h }-parabolic systems with time-dependent coefficients and present examples of these systems.