Energy decay for nonlinear Kirchhoff-like type wave equation with nonlinear velocity feedback

摘要：

1 Introduction We investigate on the global existence and energy decay of solutions to the following Kirchhoff-like type wave equation u-divA(u)▽u + |u|βu = 0, (t, x) ∈ 0,+∞) × Ω, u = 0, (t, x) ∈ (0,+∞) × Γ, u(0, x) = u0(x), u(0, x) = u1(x), x∈ Ω, (1) where = d/dt , Ω is a bounded domain in Rn with smooth boundary Γ.

关键词： nonlinear Kirchhoff-like wave equation nonlinear velocity feedback decay properties

作者: Zhifei Zhang Fen Yang

作者单位: School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China Department of Mathemati College of Science, Wuhan University of Science and Technology, Wuhan, 430081, China

会议类型: 国际会议

会议名称: The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

会议地点: 徐州

会议语种:英文

页码: 2705-2708

在线出版日期: 2010-05-26（万方平台首次上网日期，不代表论文的发表时间）