数学杂志2021，Vol.41Issue(2)：115-124,10.
Gevrey空间中抽象柯西-柯瓦列夫斯卡娅定理:能量方法
ABSTRACT CAUCHY-KOVALEVSKAYA THEOREM IN GEVREY SPACE:ENERGY METHOD
陈俊灵1
作者信息
- 1. 武汉大学数学与统计学院,湖北武汉430072
- 折叠
摘要
Abstract
In this paper,we study the well-posedness of nonlinear Cauchy problem.The main tool is the combination of the classical energy method and abstract Cauchy-Kovalevskaya Theorem.We obtain that the nonlinear Cauchy problem is well-posed in the Gevrey space,which is an extension on the existing literature in the aspect of well-posedness for the nonlinear Cauchy problem.关键词
柯西-柯瓦列夫斯卡娅定理/Gevrey空间/能量法/柯西问题Key words
Cauchy-Kovalevakaya theorem/Gevrey space/energy method/Cauchy problem分类
数理科学引用本文复制引用
陈俊灵..Gevrey空间中抽象柯西-柯瓦列夫斯卡娅定理:能量方法[J].数学杂志,2021,41(2):115-124,10.
