Existence and Nonuniqueness of Weak Solutions of the Initial-Boundary Value Problem for ut=u^σ div（

• 作 者: 周文书 伍卓群
• 机 构: SchoolofMathematics
• 出 处: 东北数学：英文版
• 发表日期: 2005年2期
• 关键词: 发散结构 衰退抛物型偏微分方程 存在性 不一致性 边值问题 divergence form degenerate parabolic equation ex
• 基金项目: The Young Teachers Foundation (420010302318) of Jilin University.

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