期刊信息
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- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
A New Proof of Schauder's Estimate
摘要/Abstract
摘要:
应用扰动系数法,将具有Hlder连续系数的方程看成是常系数方程的扰动,给出了二阶椭圆型偏微分方程Schauder估计的一个新证明.由于采用了比原来简单的范数,得到的结果就更容易在正则理论中得到应用。
Abstract:
Using the method of pertubation of coefficients,that means equations with Holder continous coefficients as a perturbation of constant coefficent equations, a new proof of Schauder' s estimate of second order elliptic partial differential equations is given. Using more simple norms than before,these estiamtes are easy to apply to regularity theory.