Uniqueness of BV Entropy Solutions for Higher Dimensional Quasilinear Parabolic Equations with Arbit

• 作 者: 伍卓群 雷沛东
• 机 构: InstituteofMathematics,DepartmentofMathematics
• 出 处: 东北数学：英文版
• 发表日期: 2002年1期
• 关键词: 唯一性 任意退缩性 熵解 拟线性抛物方程 CAUCHY问题 稳定性 Uniqueness BV entropy solution parabolic equ
• 基金项目: Partially supported by NSF (19631050) of China, partially supported by the grant of Ministry of Science and Technologies of China, and partially supported by the Outstanding Young Fundation (19125107)

<正>We are concerned with the uniqueness of solutions of the Cauchy problemand a(s),b(s) are appropriately smooth.Since a(s) is allowed to have zero points, we call them points of degeneracy of (1), the equation (1) does not admit classical solutions