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A lower bound for the blow-up time to a damped semilinear wave equation

✍ Scribed by Sun, Lili; Guo, Bin; Gao, Wenjie


Book ID
124087878
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
366 KB
Volume
37
Category
Article
ISSN
0893-9659

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A blow up result for a fractionally damp
✍ Nasser-eddine Tatar πŸ“‚ Article πŸ“… 2005 πŸ› SP BirkhΓ€user Verlag Basel 🌐 English βš– 163 KB

In this paper we prove a blow up result for solutions of the wave equation with damping of fractional order and in presence of a polynomial source. This result improves a previous result in [5]. There we showed that the classical energy is unbounded provided that the initial data are large enough.