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Existence of solutions to strongly damped quasilinear wave equations

✍ Scribed by Hong Luo, Li-mei Li, Tian Ma


Book ID
119906676
Publisher
Springer International Publishing AG
Year
2012
Tongue
English
Weight
215 KB
Volume
2012
Category
Article
ISSN
1687-1839

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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