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

標題:Singularities for semilinear heat equation with spatially dependent potential
學年103
學期1
發表日期2014/09/01
作品名稱Singularities for semilinear heat equation with spatially dependent potential
作品名稱(其他語言)
著者Guo, Jong-Shenq
作品所屬單位淡江大學數學學系
出版者
會議名稱6th Euro-Japanese Workshop on Blow-up
會議地點Tokyo, Japan
摘要We consider nonnegative solutions for a semilinear heat equation with spatially dependent nonnegative potential. The domain under consideration may be either the whole space or a bounded smooth domain. In the case of nonempty boundary, we impose the zero Dirichlet boundary condition. We assume that the potential function may vanish at some points, so that there are no reactions at these points. Our aim is to study whether these zeros of the potential can be singular points, if the solution develops singularities in finite time. Intuitively, it seems that the answer is negative. However, the answer can be either positive or negative. We shall focus on two types of singularity: blow-up and quenching. Some open questions shall also be given.
關鍵字
語言英文
收錄於
會議性質國際
校內研討會地點
研討會時間20140901~20140905
通訊作者
國別日本
公開徵稿
出版型式
出處
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