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一类蜕化抛物型方程解的渐近性态
引用本文:黄骏.一类蜕化抛物型方程解的渐近性态[J].东南大学学报(自然科学版),1995(4).
作者姓名:黄骏
作者单位:东南大学数学力学系
摘    要:一类蜕化抛物型方程解的渐近性态黄骏(东南大学数学力学系,南京210018)本文讨论下列Cauchy问题的非负解u=u(p)当p→∞时的渐近性态。其中m>1,T>0,f满足如下条件:且存在λ>0,使f(s)+λs单调非减。文[1,2]在f(u)≡0的情...


Asymptotic Behaviour of Solutions of a Degenerate Parabolic Equation
Huang Jun.Asymptotic Behaviour of Solutions of a Degenerate Parabolic Equation[J].Journal of Southeast University(Natural Science Edition),1995(4).
Authors:Huang Jun
Abstract:his paper considers the asymptotic behaviour of solutions of a nlnlinear degenerate parabolic equation as the exponents of reaction term tend to infinity,and proves that the lunit functionof the solutions exists and satisfies the corresponding porous medium equation.
Keywords:nonlinearity  asymptotic  weak solution  degenerate
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