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Search Results - Non-linear boundary sampling~
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On blow up of positive initial energy solution of a nonlinear wave equation with nonlinear source and boundary damping terms
Published 2021-08
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FRELIP Subject
Blow up
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In this paper, we consider a nonlinear wave equation having nonlinear source and boundary damping terms and obtain blow up results under certain polynomial growth conditions on y, r, m and p, where the polynomial growth order of the nonlinear functions g and / are p + 1 and to +1 respectively. We obtain the blow up result using the perturbed energy technique.
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Non-linear boundary damping
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Non-linear source
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Positive initial energy
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Potential well
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