On Long-Time Dynamics of the Solution of Doubly Nonlinear Equation

被引：1
|
作者：
Novruzov, Emil [1 ]
Hagverdiyev, Ali [2 ]
机构：
[1] Hacettepe Univ, Dept Math, Ankara, Turkey
[2] Texas A&M Univ, Dept Appl Math, College Stn, TX USA
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2016年 / 15卷 / 01期
关键词：
Nonlinear degenerate equation; Global attractor; Finite speed of propagation of perturbations (FSP); DEGENERATE PARABOLIC EQUATIONS; EVOLUTION-EQUATIONS; EXPONENTIAL ATTRACTORS; DIFFUSION-EQUATIONS; GLOBAL ATTRACTOR; EXISTENCE; ABSORPTION; SUPPORT;
D O I：
10.1007/s12346-015-0153-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The subject of this investigation is the long time behavior of the positive solutions of the following nonhomogeneous equation [GRAPHICS] in unbounded domain R+ x R-N, where the term g (s) is supposed to satisfy a condition g' (s) > -l(1) and D-i = partial derivative(xi). The existence of the global attractor for the Eq. (1) in L1+theta (R-N, rho) = {upsilon; upsilon rho(1/(1+theta)) is an element of L1+theta is an element of (R-N)} is proved.
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页码：127 / 155
页数：29
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