On Decay Properties of Solutions of the k-Generalized KdV Equation View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2013-11

AUTHORS

Pedro Isaza, Felipe Linares, Gustavo Ponce

ABSTRACT

We prove special decay properties of solutions to the initial value problem associated to the k-generalized Korteweg-de Vries equation. These are related with persistence properties of the solution flow in weighted Sobolev spaces and with sharp unique continuation properties of solutions to this equation. As an application of our method we also obtain results concerning the decay behavior of perturbations of the traveling wave solutions as well as results for solutions corresponding to special data. More... »

PAGES

129-146

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00220-013-1798-7

DOI

http://dx.doi.org/10.1007/s00220-013-1798-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1011358106


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