淡江大學機構典藏:Item 987654321/58126
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    题名: Blow-up Behavior for a Parabolic Equation With Spatially Dependent Coefficient
    作者: Guo, Jong-Shenq;Lin, Chang-Shou;Shimojo, Masahiko
    贡献者: 淡江大學數學學系
    关键词: spatially dependent coefficient;blow-up point;blow-up rate
    日期: 2010-08
    上传时间: 2011-09-29 15:25:17 (UTC+8)
    出版者: Atlanta: Dynamic Publishers, Inc.
    摘要: We study the initial boundary value problem and Cauchy problem for the semilinear heat equation with power nonlinearity and spatially dependent coefficient. First, for the initial boundary value problem, we establish several conditions that ensure the origin is not a blow-up point. Then the Cauchy problem for a special case is also studied. Finally, we derive the blow-up rate when the origin is not a blow-up point.
    關聯: Dynamic Systems and Applications 19, pp.415-434
    DOI: 
    显示于类别:[數學學系暨研究所] 期刊論文

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