Decay properties for solutions of fifth order nonlinear dispersive equations
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.
 Publication:

Journal of Differential Equations
 Pub Date:
 February 2015
 DOI:
 10.1016/j.jde.2014.10.004
 arXiv:
 arXiv:1403.0682
 Bibcode:
 2015JDE...258..764I
 Keywords:

 primary<ce:keyword id="kw0020">35Q53</ce:keyword>;
 secondary<ce:keyword id="kw0040">35B05</ce:keyword>;
 Mathematics  Analysis of PDEs