Finite time blow-up for a wave equation with dynamic boundary condition at critical and high energy levels in control systems
D Xiaoqiang, Y Chao, H Shaobin, Y Tao… - Electronic Research …, 2020 - aimsciences.org
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.
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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