一类弱耦合方程组解的线性逼近The Linear Approximation of Solution of Weak Coupling Equations
柳文清;陈清婉;
摘要(Abstract)：
讨论了一类弱耦合抛物方程组解的线性逼近性质.即当非线性方程组逼近于线性方程组时,对应的非线性问题的解在L2空间中逼近于线性问题的解,并给出了显式的误差估计.
关键词(KeyWords)： 退化抛物方程组;弱耦合;线性逼近
基金项目(Foundation):
作者(Authors): 柳文清;陈清婉;
参考文献(References)：
- [1]Friedman A,Mcloed B.Blow-up of solutions of nonlinear degenerate parabolic equations[J].Arch Retional Mech Anal,1987,96:55-80.
- [2]宋先发.多重非线性抛物方程(组)的整体解、非整体解及临界指标问题[D].大连:大连理工大学,2003.
- [3]Li Yuxiang,Den Weibing,Xie Chunhong.Global existence and nonexistence for degenerate parabolic systems[J].American Mathematical Society,2002,130:3661-3670.
- [4]徐红英,刘浏,张慧.退化抛物方程组正解的整体存在性[J].四川师范大学学报:自然科学版,2005,28(2):182-184.
- [5]Pan Jiaqing.The continuous dependence on nonlinearities of solutions of the Neumann problem of a singular parabolic equation[J].Nonlinear Analysis,2007,67:2081-2090.
- [6]Admas R A.Sobolev spaces[M].New York:Academic Press,1975.