Global Solutions, Asymptotic Behavior and Blow-up Problems for Semilinear Heat Equations

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作者
王明新
丁夏畦
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[1] InstituteofSystemsScienceAcademiaSinicaBeijingPRC
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<正> The existence of global solutions, asymptotic behavior and the Lp blow-up of non-global solutions to the initial value problem are studied. We consider only the case: 1<γ<(n+2)/(n—2). It is proved that the properties of the solutions depend only on the relations between the initial data φ(x) and the unique positive equilibrium solution. The threshold is obtained.
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页码:420 / 430
页数:11
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