A potential well theory for the wave equation with a nonlinear boundary condition.
Howard A. Levine, Richard A. Smith (1987)
Journal für die reine und angewandte Mathematik
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Displaying similar documents to “On the quenching of solutions of the wave equation with a nonlinear boundary condition.”
A potential well theory for the wave equation with a nonlinear boundary condition.
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We focus on the blow-up in finite time of weak solutions to the wave equation with interior and boundary nonlinear sources and dissipations. Our central interest is the relationship of the sources and damping terms to the behavior of solutions. We prove that under specific conditions relating the sources and the dissipations (namely p > m and k > m), weak solutions blow up in finite time.
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