Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610299 | Journal of Differential Equations | 2015 | 32 Pages |
Abstract
We consider the initial value problem associated to a large class of fifth order nonlinear dispersive equations. This class includes several models arising in the study of different physical phenomena. Our aim is to establish special (space) decay properties of solutions to these systems. These properties complement previous unique continuation results and, in some case, show that they are optimal. These decay estimates reflect the “parabolic character” of these dispersive models in exponential weighted spaces. This principle was first obtained by T. Kato in solutions of the KdV equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pedro Isaza, Felipe Linares, Gustavo Ponce,