首页 > 《数学物理学报：B辑英文版》 > 2010年3期 > EXISTENCE AND NONEXISTENCE OF GLOBAL POSITIVE SOLUTIONS FOR DEGENERATE PARABOLIC EQUATIONS IN EXTERIOR DOMAINS

EXISTENCE AND NONEXISTENCE OF GLOBAL POSITIVE SOLUTIONS FOR DEGENERATE PARABOLIC EQUATIONS IN EXTERIOR DOMAINS

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摘要 ThisarticledealswiththedegenerateparabolicequationsinexteriordomainsandwithinhomogeneousDirichletboundaryconditions.Weobtainthatpc=(σ+m)n/(n-σ-2)isitscriticalexponentprovidedmax{-1,[(1-m)n-2]/(n+1)}<σpc,theequationsadmitglobalpositivesolutionsforsomeboundaryvaluesandinitialdata.Meantime,wealsodemonstratethatitspositivesolutionsblowupinfinitetimeprovidedn≤σ+2.

DOI n490pzv34y/870559

作者曾宪忠;刘振海

机构地区不详

出处《数学物理学报：B辑英文版》 2010年3期

关键词退化抛物型方程全局正解 DIRICHLET边界条件外部区域退化抛物方程 AMP

分类 [理学][基础数学]

出版日期 2010年03月13日（中国期刊网平台首次上网日期，不代表论文的发表时间）

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数学物理学报：B辑英文版

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退化抛物型方程全局正解 DIRICHLET边界条件外部区域退化抛物方程 AMP

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