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OPTIMAL CONDITIONS OF GLOBAL EXISTENCE AND BLOW-UP FOR A NONLINEAR PARABOLIC EQUATION 被引量:1

OPTIMAL CONDITIONS OF GLOBAL EXISTENCE AND BLOW-UP FOR A NONLINEAR PARABOLIC EQUATION
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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. 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.
作者 蒋毅 罗川
出处 《Acta Mathematica Scientia》 SCIE CSCD 2016年第3期872-880,共9页 数学物理学报(B辑英文版)
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)
关键词 nonlinear parabolic equation variational analysis potential well argument global existence blow up nonlinear parabolic equation variational analysis potential well argument global existence blow up
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