含有奇异项的退缩抛物型方程解的整体存在性与有限时刻猝灭性  

Global Existence and Quenching in Finite Time for Solutions to Degenerate Parabolic Equations with Singular Terms

作　　者：孙仁斌[1] 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2013年第1期102-105,共4页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(10771219)

摘　　要：考虑了一类含有奇异项的退缩抛物型方程的初边值问题,证明了弱解的局部存在性,而且当区域Ω的直径适当小时,此弱解是全局存在的,当区域Ω适当大时,此弱解会在有限时刻发生猝灭现象,并对猝灭时刻的上、下限进行了估计.In this paper,a class of initial-boundary value problem of degenerate parabolic differential equations with singular terms is considered.The local existence of weak solutions to the problem is proved,and the weak solutions exist globally while Ω is an adequate small region,yet the solutions would quench in a finite time while Ω is an adequate large region.The upper and lower limits of quenching time are also estimated.

关 键 词：退缩抛物型方程 局部弱解 整体解 有限猝灭时间 

分 类 号：O175.26[理学—数学]