Finite time blow-up for a wave equation with dynamic boundary condition at critical and high energy levels in control systems
ELECTRONIC RESEARCH ARCHIVE(2020)
Abstract
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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Key words
High energy level,critical energy level,dynamical boundary condition,wave equation
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