CRITICAL EXTINCTION EXPONENTS FOR POLYTROPIC FILTRATION EQUATIONS WITH NONLOCAL SOURCE AND ABSORPTION  

作　　者：李海霞 韩玉柱 高文杰 

机构地区：[1]School of Mathematics,Jilin University

出　　处：《Acta Mathematica Scientia》2015年第2期366-374,共9页数学物理学报（B辑英文版）

基　　金：supported by NSFC(11271154,11401252);Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education,the 985 program of Jilin University;Fundamental Research Funds of Jilin University(450060501179);supported by Graduate Innovation Fund of Jilin University(2014084)

摘　　要：In this article, by applying the super-solution and sub-solution methods, instead of energy estimate methods, the authors investigate the critical extinction exponents for a polytropic filtration equation with a nonlocal source and an absorption term, and give a classification of the exponents and coefficients for the solutions to vanish in finite time or not, which improve one of our results （Applicable Analysis, 92（2013）, 636-650） and the results of Zheng et al （Math. Meth. Appl. Sci., 36（2013）, 730-743）.In this article, by applying the super-solution and sub-solution methods, instead of energy estimate methods, the authors investigate the critical extinction exponents for a polytropic filtration equation with a nonlocal source and an absorption term, and give a classification of the exponents and coefficients for the solutions to vanish in finite time or not, which improve one of our results （Applicable Analysis, 92（2013）, 636-650） and the results of Zheng et al （Math. Meth. Appl. Sci., 36（2013）, 730-743）.

关 键 词：Polytropic filtration equation critical exponent EXTINCTION super-solution and sub-solution 

分 类 号：O175[理学—数学]