Blow-up Behavior for a Parabolic Equation With Spatially Dependent Coefficient
學年 99
學期 1
出版(發表)日期 2010-08-01
作品名稱 Blow-up Behavior for a Parabolic Equation With Spatially Dependent Coefficient
作品名稱(其他語言)
著者 Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko
單位 淡江大學數學學系
出版者 Atlanta: Dynamic Publishers, Inc.
著錄名稱、卷期、頁數 Dynamic Systems and Applications 19, pp.415-434
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.
關鍵字 spatially dependent coefficient;blow-up point;blow-up rate
語言 en_US
ISSN 1056-2176
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Shimojo, Masahiko
審稿制度
國別 USA
公開徵稿
出版型式 ,紙本
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