边界退化的奇异扩散方程解的正则性

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	边界退化的奇异扩散方程解的正则性
	谢清梅 ; 詹华税
刊名	http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jmxz201105014&dbcode=CJFQ&dbname=CJFQ2011
	2012-06-05 ; 2012-06-05
关键词	边界退化扩散方程唯一性正则性 boundary degeneracy diffusion equation uniqueness regular property O175.2
其他题名	The Regular Properties of the Singular Diffusion Equation with Boundary Degeneracy
中文摘要	研究在边界退化的奇异扩散方程u/t=div(dα︱▽u︱p-2▽u),(x,t)∈QT=Ω×(0,T),其中ΩRN是一个边界适当光滑的有界区域,p>1,α>0,d(x)=dist(x,Ω).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.; The singular diffusion equation with boundary degeneracy u/t=div(dα︱▽u︱p-2▽u),(x,t)∈QT=Ω×(0,T) was studied,where ΩRN was bounded domain with appropriately smooth boundary,p>1,α>0,α≠1,and d(x)=dist(x,Ω).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.; 【作者单位】集美大学理学院；【作者英文名】XIE Qing-mei,ZHAN Hua-shui(School of Science,Jimei University,Xiamen 361021,China)
语种	中文
内容类型	期刊论文
源URL	[http://ir.calis.edu.cn/hdl/235041/16007]
专题	集美大学
推荐引用方式 GB/T 7714	谢清梅,詹华税. 边界退化的奇异扩散方程解的正则性[J]. http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jmxz201105014&dbcode=CJFQ&dbname=CJFQ2011,2012, 2012.
APA	谢清梅,&詹华税.(2012).边界退化的奇异扩散方程解的正则性.http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jmxz201105014&dbcode=CJFQ&dbname=CJFQ2011.
MLA	谢清梅,et al."边界退化的奇异扩散方程解的正则性".http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jmxz201105014&dbcode=CJFQ&dbname=CJFQ2011 (2012).