Exponential stability and blow up for a problem with Balakrishnan–Taylor damping
Abstract: This work is devoted to the study of a nonlinear viscoelastic Kirchhoff equation with Balakrishnan–Taylor damping. We show that the weak dissipation produced by the memory term is strong enough to stabilize solutions exponentially. Also, we show that a nonlinear source of polynomial type is able to force solutions to blow up in finite time even in presence of a stronger damping.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Exponential stability and blow up for a problem with Balakrishnan–Taylor damping ; volume:44 ; number:1 ; year:2011 ; pages:67-90 ; extent:24
Demonstratio mathematica ; 44, Heft 1 (2011), 67-90 (gesamt 24)
- Creator
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Tatar, Nasser-eddine
Zaraï, Abderrahmane
- DOI
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10.1515/dema-2013-0297
- URN
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urn:nbn:de:101:1-2411171646006.803185239777
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:28 AM CEST
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Associated
- Tatar, Nasser-eddine
- Zaraï, Abderrahmane
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