Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Fonseca, Germán"'
We consider the initial value problem associated to the low dispersion fractionary Benjamin-Bona-Mahony equation, fBBM. Our aim is to establish local persistence results in weighted Sobolev spaces and to obtain unique continuation results that imply
Externí odkaz:
http://arxiv.org/abs/2405.19613
Publikováno v:
In Nonlinear Analysis January 2025 250
We prove that the initial value problem associated to a nonlocal perturbation of the Benjamin-Ono equation is locally and globally well-posed in Sobolev spaces $H^s(\mathbb{R})$ for any $s>-3/2$ and we establish that our result is sharp in the sense
Externí odkaz:
http://arxiv.org/abs/1807.10674
Autor:
Fonseca, German E., Pachon, Miguel A.
We consider the well-posedness of the initial value problem associated to the k-generalized Zakharov-Kuznetsov equation in fractional weighted Sobolev spaces. Our method of proof is based on the contraction mapping principle and it mainly relies on t
Externí odkaz:
http://arxiv.org/abs/1501.00220
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
Externí odkaz:
http://arxiv.org/abs/1304.6454
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 August 2019 476(2):391-425
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
Externí odkaz:
http://arxiv.org/abs/1205.5450
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 and to deduce from them some sharp unique continuation properties of solution
Externí odkaz:
http://arxiv.org/abs/1110.5967
In this work we continue our study initiated in \cite{GFGP} on the uniqueness properties of real solutions to the IVP associated to the Benjamin-Ono (BO) equation. In particular, we shall show that the uniqueness results established in \cite{GFGP} do
Externí odkaz:
http://arxiv.org/abs/1105.3905
Autor:
Fonseca, German, Ponce, Gustavo
We study the initial value problem associated to the Benjamin-Ono equation. The aim is to establish persistence properties of the solution flow in the weighted Sobolev spaces $Z_{s,r}=H^s(\R)\cap L^2(|x|^{2r}dx)$, $s\in\R, \,s\geq 1$ and $s\geq r$. W
Externí odkaz:
http://arxiv.org/abs/1004.5592