本刊英文版2019年62卷第9期摘要（英文）

Infinite dimensional Cauchy-Kowalevski and Holmgren type theorems Jiayang Yu&Xu Zhang Abstract The aim of this paper is to show Cauchy-Kowalevski and Holmgren type theorems with an infinite number of variables.We adopt von Koch and Hilbert’s definition of analyticity of functions as monomial expansions.Our Cauchy-Kowalevski type theorem is derived by modifying the classical method of majorants.Based on this result,by employing some tools from abstract Wiener spaces,we establish our Holmgren type theorem.