Excluding blowup at zero points of the potential by means of Liouville-type theorems
學年 107
學期 1
出版（發表）日期 2018-11-15
作品名稱 Excluding blowup at zero points of the potential by means of Liouville-type theorems
作品名稱（其他語言）
著者 Jong-Shenq Guo; Philippe Souplet
單位
出版者
著錄名稱、卷期、頁數 Journal of Differential Equations 265(10), p.4942-4964
摘要 We prove a local version of a (global) result of Merle and Zaag about ODE behavior of solutions near blowup points for subcritical nonlinear heat equations. As an application, for the equation , we rule out the possibility of blowup at zero points of the potential V for monotone in time solutions when for large u, both in the Sobolev subcritical case and in the radial case. This solves a problem left open in previous work on the subject. Suitable Liouville-type theorems play a crucial role in the proofs.
關鍵字 Blowup;Potential;Liouville-type theorem
語言 en_US
ISSN
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度 是
國別 USA
公開徵稿
出版型式 ,電子版,紙本
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/115912 )