OPTIMAL CONDITIONS OF GLOBAL EXISTENCE AND BLOW-UP FOR A NONLINEAR PARABOLIC EQUATION

作     者：蒋毅 罗川 

作者机构：VC/VR Lab and Department of MathematicsSichuan Normal University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2016年第36卷第3期

页      面：872-880页

核心收录：

学科分类：083002[工学-环境工程] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 07[理学] 08[工学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(11126336 and 11201324) New Teachers’Fund for Doctor Stations,Ministry of Education(20115134120001) Fok Ying Tuny Education Foundation(141114) Youth Fund of Sichuan Province(2013JQ0027) 

主　　题：nonlinear parabolic equation variational analysis potential well argument global existence blow up 

摘      要：According to the variational analysis and the potential well argument, we get the optimal conditions of global existence and blow-up for a type of nonlinear parabolic equations. Furthermore, we give its application in the instability of the steady states.