The modified KdV equation with higher dispersion in Sobolev and analytic spaces on the line
type: Item
instance of: scholarly article
title: The modified KdV equation with higher dispersion in Sobolev and analytic spaces on the line
zbMATH Open document ID: 1476.35219
author: Renata O. Figueira
author: A. Alexandrou Himonas
author: Rafael F. Barostichi
published in: Journal of Evolution Equations
publication date: 2021-08-10T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35A09
zbMATH DE Number: 7380248
zbMATH Keywords: mKdV equation with higher dispersion
zbMATH Keywords: initial value problem
zbMATH Keywords: well-posedness
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: trilinear estimates
zbMATH Keywords: Bourgain spaces
zbMATH Keywords: radius of analyticity
MaRDI profile type: Publication
full work available at URL: s00028-021-00679-1
OpenAlex ID: W3139129342
cites work: Some Lower Bounds for Solutions of Schrödinger Evolutions
cites work: Well-posedness of the ``good'' Boussinesq equation in analytic Gevrey spaces and time regularity
cites work: Interaction equations for short and long dispersive waves
cites work: The local ill-posedness of the modified KdV equation
cites work: Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
cites work: The initial-value problem for the Korteweg-de Vries equation
cites work: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
cites work: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
cites work: On the Cauchy problem for periodic KdV-type equations
cites work: Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
cites work: Multilinear estimates for periodic KdV equations, and applications
cites work: Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation
cites work: Instability of solitons–revisited, I: The critical generalized KdV equation
cites work: Well-posedness of KdV with higher dispersion
cites work: The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces
cites work: Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions
cites work: Q4658933
cites work: On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation
cites work: The Cauchy problem for the fifth order shallow water equation
cites work: Well-posedness for the fifth-order shallow water equations
cites work: Global Well-Posedness of mKdV inL2(𝕋, ℝ)
cites work: Q3342896
cites work: On the regularity of solutions to the 𝑘-generalized Korteweg-de Vries equation
cites work: Q4122353
cites work: Nonlinear evolution equations and analyticity. I
cites work: Q3974678
cites work: Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
cites work: Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
cites work: On the ill-posedness of some canonical dispersive equations.
cites work: A bilinear estimate with applications to the KdV equation
cites work: Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.
cites work: Introduction to nonlinear dispersive equations
cites work: Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
cites work: Sharp ill-posedness results for the KdV and mKdV equations on the torus
cites work: Evolution equations possessing infinitely many symmetries
cites work: Lower bounds on the radius of spatial analyticity for the KdV equation
cites work: Q5475508
cites work: Q5574350
DOI: 10.1007/S00028-021-00679-1
description: scientific article; zbMATH DE number 7380248