EXISTENCE RESULTS FOR A CLASS OF PSEUDOMONOTONE ELLIPTIC-PARABOLIC INCLUSIONS  

作　　者：彭自嘉 刘益良 

机构地区：[1]School of Mathematical Sciences and Computing Technology, Central South University [2]Faculty of Mathematics and Computer Science, Guangxi University for Nationalities

出　　处：《Acta Mathematica Scientia》2011年第5期1709-1718,共10页数学物理学报（B辑英文版）

基　　金：supported by NSFC (10971019);Scientific Research Fund of Guangxi Education Department (201012MS067);Hunan Provincial Innovation Foundation For Postgraduate (CX2010B117)

摘　　要：This paper deals with the initial-value problem of nonlinear evolution inclusions of the form dB（u）/dt ＋ A（u） f, v0 ∈ B（u）（0）, where the operator B is induced by a subgradient and A is pseudomonotone. Existence theorem is established via the time discretization technique and the regularization method. In contrast to the previous results, here we impose a weaker coerciveness condition on A and remove the strong monotonicity from B.This paper deals with the initial-value problem of nonlinear evolution inclusions of the form dB（u）/dt ＋ A（u） f, v0 ∈ B（u）（0）, where the operator B is induced by a subgradient and A is pseudomonotone. Existence theorem is established via the time discretization technique and the regularization method. In contrast to the previous results, here we impose a weaker coerciveness condition on A and remove the strong monotonicity from B.

关 键 词：time-discretization pseudomonotone operator REGULARIZATION 

分 类 号：O177.2[理学—数学]