Well-posedness and ill-posedness results for the regularized Benjamin-Ono equation in weighted Sobolev spaces
Analysis of PDEs
2013-04-25 v1
Abstract
We consider the initial value problem associated to the regularized Benjamin-Ono equation, rBO. Our aim is to establish local and global well-posedness results in weighted Sobolev spaces via contraction principle. We also prove a unique continuation property that implies that arbitrary polinomial type decay is not preserved yielding sharp results regarding well-posedness of the initial value problem in most weighted Sobolev spaces.
Keywords
Cite
@article{arxiv.1304.6454,
title = {Well-posedness and ill-posedness results for the regularized Benjamin-Ono equation in weighted Sobolev spaces},
author = {German Fonseca and Guillermo Rodriguez-Blanco and Wilson Sandoval},
journal= {arXiv preprint arXiv:1304.6454},
year = {2013}
}