Formal and convergent power series solutions of singular partial differential equations
Formal and convergent power series solutions of singular partial differential equations
复制标题
奇异偏微分方程的形式和收敛幂级数解
DOI：
10.1090/s0002-9947-1979-0546913-5
复制
发表时间：
1979
影响因子：
1.3
通讯作者：
S. Kaplan
中科院分区：
文献类型：
--
作者：
S. Kaplan
本文描述了一类奇异一阶偏微分方程，并给出了M。Artin关于解析方程解的一个重要结论是：给定任意形式幂级数解和任意非负整数v，可以找到一个收敛的幂级数解，该幂级数解与给定的形式幂级数解在<P的所有阶项下都是一致的。
A class of singular first-order partial differential equations is described for which an analogue of a theorem of M. Artin on the solutions of analytic equations holds: given any formal power series solution and any nonnegative integer v, a convergent power series solution may be found which agrees with the given formal solution up to all terms of order < P.