孙仁斌.带奇异项的拟线性抛物方程组在第二类边界条件下解的猝灭[J].中南民族大学学报自然科学版,2018,(2):133-136
带奇异项的拟线性抛物方程组在第二类边界条件下解的猝灭
Quenching of Solutions of Quasilinear Parabolic System with Singular Term under Second Boundary Conditions
  
DOI:
中文关键词: 拟线性抛物方程组  第二边界条件  上下解  猝灭
英文关键词: quasilinear parabolic system  second boundary condition  upper and lower solutions  quench
基金项目:国家自然科学基金资助项目(61374085)
作者单位
孙仁斌 中南民族大学 数学与统计学学院武汉 430074 
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中文摘要:
      为探讨一类含有奇异项的退缩拟线性抛物型方程组在第二类边界条件下的初边值问题, 通过上、下解方法得到了解的存在性,并利用椭圆型方程边值问题的解构造初边值问题的一对下解, 由此证明了在一定条件下问题的解会在有限时刻发生猝灭
英文摘要:
      In this paper, we considered a class of initial boundary value problem of degenerate quasilinear parabolic system containing singular term under the second boundary conditions. We obtained the existence of solutions through the upper and lower solutions and used the solution of the boundary problem of elliptic equation to construct a lower solutions of initial boundary value problem. Thus we proved that solutions of parabolic system would quench in finite time under certain condition.
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