教師資料查詢 | 類別: 期刊論文 | 教師: 郭忠勝 Guo, Jong-shenq (瀏覽個人網頁)

標題:Blowing up at zero points of potential for an initial boundary value problem
學年99
學期1
出版(發表)日期2011/01/01
作品名稱Blowing up at zero points of potential for an initial boundary value problem
作品名稱(其他語言)
著者Guo, Jong-Shenq; Shimojo, Masahiko
單位淡江大學數學學系
出版者Springfield: American Institute of Mathematical Sciences
著錄名稱、卷期、頁數Communications on Pure and Applied Analysis 10(1), pp.161-177
摘要We study nonnegative radially symmetric solutions for a semilinear heat equation in a ball with spatially dependent coefficient which vanishes at the origin. Our aim is to construct a solution that blows up at the origin where there is no reaction. For this, we first prove that the blow-up is complete, if the origin is not a blow-up point and if there is no blow-up point on the boundary. Then we prove that a threshold solution exists such that it blows up in finite time incompletely and there is no blow-up point on the boundary. On the other hand, we prove that any zero of nonnegative potential is not a blow-up point for a more general problem under the assumption that the solution is monotone in time.
關鍵字Blow up; Potential; Semilinear heat equation; Threshold solution
語言英文
ISSN1534-0392
期刊性質國外
收錄於SCI
產學合作
通訊作者Guo,Jong-shenq
審稿制度
國別美國
公開徵稿
出版型式紙本
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