A PROBABILISTIC REPRESENTATION OF SOLUTION TO THE CAUCHY PROBLEM FOR EVOLUTION EQUATION WITH DIFFERENTIAL OPERATOR OF ORDER GREATER THAN 2

摘要

Letmbe a positive integer. A probabilistic representation of a solution to the Cauchy problem for the high order heat type equation∂u∂t=cm∂mu∂mx$$ frac{partial u}{partial t}={c}_mfrac{partial^mu}{partial^mx} $$is constructed. Bibliography: 11 titles