Acta mathematica scientia, Series B >
CRITICAL EXTINCTION EXPONENTS FOR POLYTROPIC FILTRATION EQUATIONS WITH NONLOCAL SOURCE AND ABSORPTION
Received date: 2013-10-09
Revised date: 2014-01-01
Online published: 2015-03-20
Supported by
This project is supported by NSFC (11271154, 11401252), Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education, the 985 program of Jilin University, and Fundamental Research Funds of Jilin University (450060501179). The first author is also supported by Graduate Innovation Fund of Jilin University (2014084).
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).
Haixia LI , Yuzhu HAN , Wenjie GAO . CRITICAL EXTINCTION EXPONENTS FOR POLYTROPIC FILTRATION EQUATIONS WITH NONLOCAL SOURCE AND ABSORPTION[J]. Acta mathematica scientia, Series B, 2015 , 35(2) : 366 -374 . DOI: 10.1016/S0252-9602(15)60008-X
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