Electronic Research Archive

2020, Issue 1: 91-102. doi: 10.3934/era.2020006
Special Issues

Finite time blow-up for a wave equation with dynamic boundary condition at critical and high energy levels in control systems

• Primary: 35L05

• We study the initial boundary value problem of linear homogeneous wave equation with dynamic boundary condition. We aim to prove the finite time blow-up of the solution at critical energy level or high energy level with the nonlinear damping term on boundary in control systems.

Citation: Xiaoqiang Dai, Chao Yang, Shaobin Huang, Tao Yu, Yuanran Zhu. Finite time blow-up for a wave equation with dynamic boundary condition at critical and high energy levels in control systems[J]. Electronic Research Archive, 2020, 28(1): 91-102. doi: 10.3934/era.2020006

Related Papers:

• We study the initial boundary value problem of linear homogeneous wave equation with dynamic boundary condition. We aim to prove the finite time blow-up of the solution at critical energy level or high energy level with the nonlinear damping term on boundary in control systems.

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