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Global solutions and finite time blow up for damped semilinear wave equations

✍ Scribed by Filippo Gazzola; Marco Squassina

Book ID: 108052907
Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 224 KB
Volume: 23
Category: Article
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2005.02.007

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## Abstract We study the asymptotic behaviour in time of the solutions of dissipative perturbations of wave‐type equations in ℝ^__N__^, __u__~tt~ + __Bu__~t~ + __Au__ + __G__(__u__) = 0, with commuting positive operators __A__, __B__ and a power like non‐linearity G(__u__). First we give some (pseu