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Remarks on decay of small solutions to systems of Klein–Gordon equations with dissipative nonlinearities

✍ Scribed by Kim, Donghyun; Sunagawa, Hideaki

Book ID
125434910
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
415 KB
Volume
97
Category
Article
ISSN
0362-546X

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## Abstract We study the Cauchy problem of nonlinear Klein–Gordon equation with dissipative term. By introducing a family of potential wells, we derive the invariant sets and prove the global existence, finite time blow up as well as the asymptotic behaviour of solutions. In particular, we show a s