Blow-up Behavior for a Parabolic Equation With Spatially Dependent Coefficient | |
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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 | 否 |
國別 | USA |
公開徵稿 | |
出版型式 | ,紙本 |
相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58126 ) |