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Existence and scattering of small solutions to a Boussinesq type equation of sixth order

✍ Scribed by Suxia Xia; Jia Yuan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
365 KB
Volume
73
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we consider the existence and uniqueness of the global small solution as well as the small data scattering result to the Cauchy problem for a Boussinesq type equation of sixth order with the nonlinear term f (u) behaving as u p (p > 1) as u β†’ 0 in R n , n β‰₯ 1.

The main method and techniques used in our paper are the Littlewood-Paley dyadic decomposition, the stationary phase estimate and some properties of Bessel function.

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