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Global existence and asymptotic behavior of solution for the Rosenau equation with hydrodynamical damped term

✍ Scribed by Wang, Hongwei; Wang, Shubin

Book ID
121887464
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
428 KB
Volume
401
Category
Article
ISSN
0022-247X

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This paper studies the Cauchy problem for the coupled system of nonlinear Klein-Gordon equations with damping terms. We first state the existence of standing wave with ground state, based on which we prove a sharp criteria for global existence and blow-up of solutions when E(0) < d. We then introduc