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补偿紧性在任意阶奇异摄动守恒律中的应用
引用本文:殷朝阳.补偿紧性在任意阶奇异摄动守恒律中的应用[J].中山大学学报(自然科学版),1997,36(5):23-28.
作者姓名:殷朝阳
作者单位:中山大学物理学系
摘    要:研究了一类任意阶的奇异摄动守恒律方程,通过应用补偿紧性方法和能量估计方法,得到了该类摄动方程解的收敛性和正则性.

关 键 词:补偿紧性,能量估计,解的收敛性,解的正则性

Compensated Compactness Applied to Singular Perturbed P.D.E. of an Arbitrary Order
Yin Zhaoyang.Compensated Compactness Applied to Singular Perturbed P.D.E. of an Arbitrary Order[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,1997,36(5):23-28.
Authors:Yin Zhaoyang
Institution:Yin ZhaoyangDepartment of Physics,Zhongshan University,Guangzhou 510275
Abstract:The compensated compactness method is applied to study the convergence and the regularity of solutions of the singular perturbed P.D.E. of any order. The convergence and regularity of solutions are also obtained.
Keywords:compensated compactness  energy estimate  the convergence of solution  the regularity of solution  
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