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带吸收项的多方渗流方程解的渐近性质
引用本文:张丽琴. 带吸收项的多方渗流方程解的渐近性质[J]. 厦门理工学院学报, 2010, 18(2): 15-19
作者姓名:张丽琴
作者单位:厦门理工学院数理系,福建,厦门,361024
基金项目:厦门理工学院科学技术研究项目 
摘    要:
讨论了带吸收项的多方渗流方程解,当p→∞时的渐近性质.主要通过次微分的方法得到当初值u0(x)不具有紧支集时,弱解的渐近极限.

关 键 词:吸收项  多方渗流方程  渐近性质

Asymptotic Behavior of the Solutions for the Doubly Nonlinear Degenerate Parabolic Equation with Absorption
ZHANG Li-qin. Asymptotic Behavior of the Solutions for the Doubly Nonlinear Degenerate Parabolic Equation with Absorption[J]. Journal of Xiamen University of Technology, 2010, 18(2): 15-19
Authors:ZHANG Li-qin
Affiliation:ZHANG Li-qin (Faculty of Mathematics & Physics,Xiamen University of Technology,Xiamen 361024,China)
Abstract:
In this paper we consider the Cauchy problem of the doubly nonlinear degenerate parabolic equations with absorption.We are interested in the asymptotic behavior of the solutions up(x,t) as p→ ∞,when the initial value u0(x) has no compact support.
Keywords:absorption  doubly nonlinear degenerate parabolic equation  asymptotic behavior
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