Remarks on the blow-up in linearly damped abstract wave equations
We consider a class of abstract nonlinear wave equations with a linear dissipation term. In a previous work, it was proved that if a dissipation coefficient δ>0is sufficiently small, for any positive value of an initial energy, there always exist initial data whose corresponding solution blows up...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818121000292 |