Cauchy-Kowalevski and Holmgren type theorems with infinite many variables
时间 Time： 周一17:05-18:05，2019-9-30
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.