Well-posedness results for the dispersion generalized Benjamin-Ono equation via the contraction principle
Analysis of PDEs
2013-09-03 v3
Abstract
We study the initial value problem associated to the dispersion generalized Benjamin-Ono equation. Our aim is to establish well-posedness results in weighted Sobolev spaces via contraction principle under minimal requirements in the weighted order of the space. One of our new main ideas is the deduction of a pointwise estimate concerning the group describing the solution of the linear problem and the fractional weights.
Keywords
Cite
@article{arxiv.1205.5450,
title = {Well-posedness results for the dispersion generalized Benjamin-Ono equation via the contraction principle},
author = {Germán Fonseca and Felipe Linares and Gustavo Ponce},
journal= {arXiv preprint arXiv:1205.5450},
year = {2013}
}
Comments
22 pages. The paper has been withdrawn due to an error in the maximal norm estimate that we haven't been able to overcome