Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417233 | Journal of Differential Equations | 2011 | 17 Pages |
Abstract
We study the initial value problem for the generalized Boussinesq equation and prove existence of local and global solutions with singular initial data in weak-Lp spaces. Our class of initial data for global existence is larger than that of Cho and Ozawa (2007) [7]. Long time behavior results are obtained and a scattering theory is proved in that framework. With more structure, we show Sobolev H1 and Lorentz-type L(p,q) regularity properties for the obtained solutions. The approach employed is unified for all dimensions n⩾1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lucas C.F. Ferreira,