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Long-Time Behavior of Solutions to a Semilinear Wave Equation with Boundary Damping

✍ Scribed by I. N. Kostin

Book ID
114421577
Publisher
Springer
Year
2001
Tongue
English
Weight
144 KB
Volume
11
Category
Article
ISSN
0925-4668

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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