一类含奇异项的退缩抛物型方程的柯西问题  

Cauchy Problem for Singular and Degenerate Parabolic Equation

作　　者：孙仁斌[1] 徐章韬[2] 

机构地区：[1]中南民族大学计算机科学学院,武汉430074 [2]华中师范大学数学与统计学院,武汉430079

出　　处：《中南民族大学学报（自然科学版）》2004年第2期90-92,共3页Journal of South-Central University for Nationalities：Natural Science Edition

摘　　要：考虑了含奇异项的退缩抛物型方程柯西问题解的存在性与初始条件的关系 ,证明了在初值较小时解是全局存在的 。The relation about the existence of solution and initial condition for Cauchy problem of a singular and degenerate parabolic equation is considered. It is proved that in small initial condition the solution exist globally and in large initial condition the solution quenches in a finite time.

关 键 词：退缩抛物型方程 奇异项 柯西问题 存在性 猝灭 

分 类 号：O175.26[理学—数学]