Existence and Nonuniqueness of Weak Solutions of the Initial-Boundary Value Problem for u_t = u~σdiv(|u|^(p-2)u)  

作　　者：周文书 伍卓群 

机构地区：[1]School of Mathematics, Jilin University, Changchun, 130012

出　　处：《Northeastern Mathematical Journal》2005年第2期189-206,共18页东北数学（英文版）

基　　金：The Young Teachers Foundation (420010302318) of Jilin University.

摘　　要：In this paper, we study the existence and nonuniqueness of weak solutions of the initial and boundary value problem for ut= uσdiv(|△u|p-2△u) with σ≥1. Localization property of weak solutions is also discussed.In this paper, we study the existence and nonuniqueness of weak solutions of the initial and boundary value problem for ut= uσdiv(|△u|p-2△u) with σ≥1. Localization property of weak solutions is also discussed.

关 键 词：divergence form degenerate parabolic equation EXISTENCE NONUNIQUENESS localization 

分 类 号：O175.8[理学—数学]