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[1]谢清梅,詹华税.边界退化的奇异扩散方程解的正则性[J].集美大学学报(自然科学版),2011,16(5):389-391.
　XIE Qing-mei,ZHAN Hua-shui.The Regular Properties of the Singular DiffusionEquation with Boundary Degeneracy[J].Journal of Jimei University,2011,16(5):389-391.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第16卷
期数:
2011年第5期
页码:
389-391
栏目:
数理科学与信息工程
出版日期:
2011-09-25

文章信息/Info

Title:
The Regular Properties of the Singular DiffusionEquation with Boundary Degeneracy
作者:
谢清梅; 詹华税
(集美大学理学院,福建 厦门 361021)
Author(s):
XIE Qing-mei; ZHAN Hua-shui
(School of Science,Jimei University,Xiamen 361021,China)
关键词:
边界退化; 扩散方程; 唯一性; 正则性The Regular Properties of the Singular DiffusionEquation with Boundary Degeneracy
Keywords:
boundary degeneracy; diffusion equation; uniqueness; regular property
分类号:
-
DOI:
-
文献标志码:
-
摘要:
研究在边界退化的奇异扩散方程，其中是一个边界适当光滑的有界区域，p＞1,α＞0,d(x)=dist(x,).在假设解的唯一性成立的前提下，证明了这种热传导问题的弱解具有与一般热传导问题的弱解相似的正则性
Abstract:
The singular diffusion equation with boundary degeneracy was studied,where was bounded domain with appropriately smooth boundary, ,and d(x)=dist(x,).Under the assumption on the uniqueness of the weak solution,the regular properties of the weak solution similar to those of the weak solution for a general heat conduction without degeneracy on the boundary were obtained

参考文献/References:

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备注/Memo

备注/Memo:
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更新日期/Last Update: 2018-06-13