Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840047 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 10 Pages |
Abstract
In this article, we investigate both the periodic and non-periodic initial-value problems for generalized Boussinesq equations. We show that the associated flow map is not smooth for a range of Sobolev indices, thus providing a threshold for the regularity needed to perform a Picard iteration for these problems.
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Authors
Dan-Andrei Geba, A. Alexandrou Himonas, David Karapetyan,