孙仁斌.含有奇异项的退缩抛物型方程解的整体[J].中南民族大学学报自然科学版,2013,32(1):102-105
含有奇异项的退缩抛物型方程解的整体
Global Existence and Quenching in Finite Time for Solutions to Degenerate Parabolic Equations with Singular Terms
  
DOI:10.12130/znmdzk.20130124
中文关键词: 退缩抛物型方程  局部弱解  整体解  有限猝灭时间
英文关键词: degenerate parabolic equation  local weak solutions  global solution  finite quenching time
基金项目:国家自然科学基金资助项目( 10771219)
作者单位
孙仁斌 中南民族大学数学与统计学学院武汉430074 
摘要点击次数: 1121
全文下载次数: 1371
中文摘要:
      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.
英文摘要:
      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.
查看全文   查看/发表评论  下载PDF阅读器
关闭