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

【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).更多还原

【Abstract】 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).更多还原