ANALYSIS OF BOUNDARY LAYER SINGULARITY OF A HYPERBOLIC EQUATION

在线阅读 下载PDF 导出详情
摘要 UsingtheinterpolationtheoryofafamilyoflinearoperatorsandtheSobolevspaces,weintroduceaquantityJ_∈~4(λ)whichdepictstheshapeoftheboundarylayer,andthenanalyzetheboundarysingulartyofJ_∈~4(λ).Ourresultshowsthatthethicknessoftheboundarylayer(ortheregularregionofJ_∈~4(λ))isintrinsicallyrelatedtothereciprocaloftheorderoftheequation;thelossofboundaryconditionsbetweenthesingularsolutionandthelimitsolutiondoesnotinfluencethethicknessoftheboundarylayer,butitinfluencestheprocessofincreasingsingularityofJ_∈~4(λ);themorethelossofboundaryconditions,thesmallertheregionofincreasingsingularity.Finally,wegiveadefinitionofaneighborhoodofsuddenchangeandproposeanopenproblemregardingthisneighborhood.
作者
机构地区 不详
出版日期 1993年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)