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Decay rate of solutions of a wave equation with damping and external force

✍ Scribed by Xiaodong Zhu


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
97 KB
Volume
46
Category
Article
ISSN
0362-546X

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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