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:Self-similar solutions for a quenching problem with spatially dependent nonlinearity
學年105
學期1
出版(發表)日期2016/12/01
作品名稱Self-similar solutions for a quenching problem with spatially dependent nonlinearity
作品名稱(其他語言)
著者Jong-Shenq Guo; Yoshihisa Morita; Shoji Yotsutani
單位
出版者
著錄名稱、卷期、頁數Nonlinear Analysis: Theory, Methods & Applications 147, p.45-62
摘要This paper is devoted to the study of the self-similar solutions for a semilinear parabolic equation with spatially dependent nonlinearity which arises in the model of micro-electro mechanical system. We first provide a result on the non-existence of slow orbit for a certain range of parameters. Next, we prove the existence of backward solutions with the desired polynomial growth condition at infinity to the associated equation by a fixed point argument. Then we give a detailed analysis of the behavior of global solutions at the origin. Finally, as an application of the above results, we prove a uniqueness theorem.
關鍵字Self-similar solution;Slow orbit;Pohozaev's type identity;Backward solution
語言英文
ISSN0362-546X
期刊性質國外
收錄於SCI;
產學合作
通訊作者Jong-Shenq Guo
審稿制度
國別英國
公開徵稿
出版型式,電子版,紙本
相關連結
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