| 完全非线性偏微分方程解的Gevrey微局部正则性 |
| |
| 引用本文： | 陈化,申伊塃. 完全非线性偏微分方程解的Gevrey微局部正则性[J]. 数学杂志, 2002, 22(2): 121-130 |
| |
| 作者姓名： | 陈化 申伊塃 |
| |
| 作者单位： | 武汉大学数学与统计学院,武汉,430072 |
| |
| 基金项目： | theNationalNaturalScienceFoundationofChina |
| |
| 摘 要： | 本文中，我们首先简要回顾了Gevrey类中的仿微分运算，然后考察了相关的完全非线性偏微分方程的象征的一些性质。作为应用，我们得到解在椭圆点附近的Gevrey微局部正则性。
|
| 关 键 词： | 非线性偏微分方程 解 Gevrey微局部正则性 |
GEVREY MICROREGULARITY OF SOLUTIONS FOR FULLY NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS |
| |
| CHEN Hua,SHEN Yi-huang. GEVREY MICROREGULARITY OF SOLUTIONS FOR FULLY NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS[J]. Journal of Mathematics, 2002, 22(2): 121-130 |
| |
| Authors: | CHEN Hua SHEN Yi-huang |
| |
| Abstract: | In this paper, we first go over some aspects of paradifferential calculus in Gevrey classes, then study some propositions of symbols related to fully nonlinear partial differential equations in Gevrey classes, and as an application, get Gevrey microregularity of solutions at elliptic points. |
| |
| Keywords: | symbol paralinearization Gevrey microregularity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
