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局部Hlder估计
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作者 曹伟平 舒伟 《淮海工学院学报(自然科学版)》 CAS 2000年第1期1-2,共2页
在最高项系数无界的条件下讨论了二阶散度型椭圆型微分方程弱解的局部Holder估计,从而说明其弱解在Ω内Holder连续。
关键词 椭圆形微分算子 Hoelder估计 椭圆型方程 弱解
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Singular Perturbation of a Class of Dirichlet Exterior Problems for Elliptic Equations
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作者 XIE Feng (Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, China) 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第1期1-6,共6页
In this paper, we consider a class of singularly perturbed Dirichlet exterior problems for elliptic equations. Under the appropriate conditions we construct the formally asymptotic solution of the problem described. U... In this paper, we consider a class of singularly perturbed Dirichlet exterior problems for elliptic equations. Under the appropriate conditions we construct the formally asymptotic solution of the problem described. Using differential inequaltiy theory we prove the existence of the solution of original problem and the uniforly validity of the formal solution. 展开更多
关键词 singular perturbation elliptic equation differential inequality
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