Article ID Journal Published Year Pages File Type
840047 Nonlinear Analysis: Theory, Methods & Applications 2014 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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