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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58126

    Title: Blow-up Behavior for a Parabolic Equation With Spatially Dependent Coefficient
    Authors: Guo, Jong-Shenq;Lin, Chang-Shou;Shimojo, Masahiko
    Contributors: 淡江大學數學學系
    Keywords: spatially dependent coefficient;blow-up point;blow-up rate
    Date: 2010-08
    Issue Date: 2011-09-29 15:25:17 (UTC+8)
    Publisher: Atlanta: Dynamic Publishers, Inc.
    Abstract: 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.
    Relation: Dynamic Systems and Applications 19, pp.415-434
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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