简介:InthispaperwestudythesolutionsandstabilityofthegeneralizedWilson’sfunctionalequation∫_Gf(xty)dμ(t)+∫_Gf(xtσ(y))dμ(t)=2f(x)g(y),x,y∈G,whereGisalocallycompactgroup,σisacontinuousinvolutionofGandμisanidempotentcomplexmeasurewithcompactsupportandwhichisσ-invariant.Weshowthat∫_Gg(xty)dμ(t)+∫_Gg(xtσ(y))dμ(t)=2g(x)g(y)iff≠0and∫_Gf(t.)dμ(t)≠0,where[∫_Gf(t.)dμ(t)](x)=∫_Gf(tx)dμ(t).WealsostudysomestabilitytheoremsofthatequationandweestablishthestabilityonnoncommutativegroupsoftheclassicalWilson’sfunctionalequationf(xy)+χ(y)f(xσ(y))=2f(x)g(y)x,y∈G,whereχisaunitarycharacterofG.
简介:Inthisarticle,westudytheexplicitexpressionsoftheconstantsintheerrorestimateofthenonconformingfiniteelementmethod.WeexplicitlyobtaintheapproximationerrorestimateandtheconsistencyerrorestimatefortheWilson'selementwithouttheregularassumption,respectively,whichimpliesthefinalfiniteelementerrorestimate.Suchexplicitapriorierrorestimatescanbeusedascomputableerrorbounds.
简介:ThenonconformingWilson’sbrickclassicallyisrestrictedtoregularhexahedralmeshes.LesaintandZlamal[6]relaxedthisconstraintforthetwo-dimensionalanalonueofthiselementInthispaperweextendtheirresultstothreedimensionsandprovethatandwhereuistheexactsolution,u_histheapproximatesolutionandistheusualnormfortheSobolevspaceH~1(?).
简介:目的检测肝豆状核变性(Wilsondisease,WD)ATP7B基因启动子区的DNA序列,分析其结构,发现存在的突变,通过报告基因瞬时表达研究突变对启动子功能的影响.方法检测36个WD家系71名成员(其中48例WD患者)及20名正常人的基因组DNA序列并进行分析.对发现的突变,进行荧光素酶报告基因瞬时表达研究.结果(1)在正常对照、患者一级亲属和WD患者的启动子区-190、-78和+260位(转录起始点为+1)均发现存在单个碱基的不同;(2)在48例病人中发现3例存在-183位C→T突变,其中2例为纯合突变,另1例为杂合突变,在正常对照、患者一级亲属中未发现此改变;(3)通过荧光素酶报告基因瞬时表达研究,发现-183位C→T突变不影响ATP7B基因启动子的功能.结论本研究在ATP7B基因启动子区未发现存在致病突变,提示ATP7B基因启动子区存在致病突变在中国人群中是不常见的.
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简介:摘要Kummell’s病是一种发病机制尚不明确的罕见疾病。临床中常常不能及时发现。随着影像学技术的提高,逐渐得到大家的认知。本文就Kummell’s病的诊疗进展作一综述。
简介:Inthispaper,thesupercouvergenceofaclassofWilson-likeelementsisconsidered,andasuperconvergentestimateofWilson-likeelementsisobtainedforstrongregularmeshes.