Cover Image

On decay and regularly of solutions of the Benjamin-Ono equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Linares, Felipe, Ponce, Gustavo
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35Q53, 35B40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On decay and asymptotic properties of solutions to the Intermediate Long Wave equation
by: Linares, Felipe, et al.
Published: (2024)

The zero-dispersion limit for the Benjamin--Ono equation on the circle
by: Mæhlen, Ola
Published: (2025)

On long time behavior of solutions of the Schrödinger-KdV system with and without resonant interactions
by: Linares, Felipe, et al.
Published: (2025)

Asymptotic behavior of solutions to the generalized KdV-Burgers equation with slowly decaying data
by: Fukuda, Ikki
Published: (2018)

Asymptotic stability of fast solitary waves to the Benjamin Equation
by: Abdallah, May, et al.
Published: (2024)

Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev--Petviashvili--Burgers equation in 2D
by: Fukuda, Ikki, et al.
Published: (2022)

Asymptotic profiles of solutions for the generalized Fornberg-Whitham equation with dissipation
by: Fukuda, Ikki
Published: (2022)

Higher-order asymptotic profiles of the solutions to the viscous Fornberg-Whitham equation
by: Fukuda, Ikki, et al.
Published: (2020)

Large time behavior of solutions to the Cauchy problem for the BBM-Burgers equation
by: Fukuda, Ikki, et al.
Published: (2022)

Asymptotic profile of solutions to the Cauchy problem for the generalized Kadomtsev-Petviashvili equations with anisotropic dissipation in 2D
by: Fukuda, Ikki
Published: (2026)

Higher-order asymptotic profiles for solutions to the Cauchy problem for a dispersive-dissipative equation with a cubic nonlinearity
by: Fukuda, Ikki, et al.
Published: (2022)

Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution
by: Gassot, Louise, et al.
Published: (2026)

Local well-posedness of the Benjamin-Ono equation for a class of bounded initial data
by: Jöckel, Niklas
Published: (2024)

Long time decay and asymptotics for the complex mKdV equation
by: Stewart, Gavin
Published: (2021)

Asymptotic stability of a finite sum of solitary waves for the Zakharov-Kuznetsov equation
by: Pilod, Didier, et al.
Published: (2023)

On decay properties for solutions of the Zakharov-Kuznetsov equation
by: Mendez, Argenis J., et al.
Published: (2023)

Long Time Well-posedness for the Benjamin-Ono Equation with Quasi-Periodic Initial Data
by: Wang, Yubo
Published: (2026)

Local well-posedness for dispersion generalized Benjamin-Ono equations in Fourier-Lebesgue spaces
by: Chen, Zijun
Published: (2024)

Improved quasi-invariance result for the periodic Benjamin-Ono-BBM equation
by: Forlano, Justin
Published: (2025)

The dispersion generalized Benjamin-Ono equation
by: Ai, Albert, et al.
Published: (2024)

On the asymptotic dynamics for the $L^2$-supercritical gKDV equation
by: Freire, Ricardo, et al.
Published: (2025)

Decay of the radius of spatial analyticity for the modified KdV equation and the nonlinear Schrödinger equation with third order dispersion
by: Figueira, Renata O., et al.
Published: (2023)

A proof of the soliton resolution conjecture for the Benjamin--Ono equation
by: Gassot, Louise, et al.
Published: (2026)

Evolution of the radius of analyticity for mKdV-type equations
by: Figueira, Renata O., et al.
Published: (2026)

Optimal Decay Estimate and Asymptotic Profile for Solutions to the Generalized Zakharov-Kuznetsov-Burgers Equation in 2D
by: Fukuda, Ikki, et al.
Published: (2023)

On the algebraic lower bound for the radius of spatial analyticity for the Zakharov-Kuznetsov and modified Zakharov-Kuznetsov equations
by: Baldasso, Mikaela, et al.
Published: (2024)

On Kato's smoothing effects for KdV and Benjamin type equations
by: Garzón, Carlos, et al.
Published: (2026)

Quantitative Stability of Two Weakly Interacting Kinks in the Stationary phi^6 Model
by: Liao, Xin
Published: (2025)

Dispersive-Dissipative estimates for Boussinesq and other generalized wave equations
by: D'Abbicco, Marcello, et al.
Published: (2026)

Liouville phenomenon for the Klein-Gordon equation in 1+1 dimensions
by: Hedenmalm, Haakan
Published: (2026)

The Benjamin-Ono equation with 2D control input: approximate controllability and its application
by: Zhao, Jia-Cheng
Published: (2026)

On the Benjamin-Bona-Mahony regularization of the Korteweg-de Vries equation
by: Hong, Younghun, et al.
Published: (2025)

Scattering problem for the generalized Korteweg-de Vries equation
by: Masaki, Satoshi, et al.
Published: (2024)

An Explicit Formula for the Benjamin-Ono Hierarchy with Applications to Traveling Waves and Zero-Dispersion Limits
by: Gérard, Patrick, et al.
Published: (2026)

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$
by: Cao-Labora, Gonzalo
Published: (2025)

Low regularity well-posedness for KP-I equations: the dispersion-generalized case
by: Sanwal, Akansha, et al.
Published: (2022)

Stability of multi-solitons for the Benjamin-Ono equation
by: Lan, Yang, et al.
Published: (2023)

The propagation of regularity and dispersive blow-up phenomenon to higher-order generalized KdV equations
by: Shan, Minjie
Published: (2024)

On special properties of solutions to Camassa-Holm equation and related models
by: Hong, Christian, et al.
Published: (2024)

Dispersive blow-up for solutions to three dimensional generalized Zakharov-Kuznetsov equations
by: Ban, Yingzhe, et al.
Published: (2024)