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THE BLOW-UP PROPERTY FOR A SYSTEM OF HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

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摘要 Thispaperdealswiththeblow-uppropertiesofsolutionstothesystemsut=Δu,vt=ΔvinBR×(O,T)subjecttononlinearboundaryconditionsδu/δη=v^p,δu/δη=u^q,inSR×(O,T).Itisshownthatundercertainconditionsthesolutionblowsupatafinitetimeandtheblow-uponlyoccursontheboundary.Theself-similarsolutionfortheone-dimensionalcasehasbeenstudied.Moreover,theexactblow-upratesarealsoderived.

DOI yzdl0w08dl/255616

作者 LINZHIGUI;XIECHUNHONG;WANGMINGXIN

机构地区不详

出处《高校应用数学学报：英文版（B辑）》 1998年3期

关键词放大性质热函数非线性边界偏微分方程

分类 [理学][基础数学]

出版日期 1998年03月13日（中国Betway体育网页登陆平台首次上网日期，不代表论文的发表时间）

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高校应用数学学报：英文版（B辑）

高校应用数学学报：英文版（B辑）

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放大性质热函数非线性边界偏微分方程

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