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KdV is well-posed in \(H^{-1}\) (Q2320609)

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Language	Label	Description	Also known as
English	KdV is well-posed in \(H^{-1}\)	scientific article

Statements

scholarly article

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KdV is well-posed in \(H^{-1}\) (English)

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Annals of Mathematics. Second Series

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publication date

23 August 2019

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full work available at URL

https://arxiv.org/abs/1802.04851

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zbMATH Keywords

completely integrable systems

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low regularity

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local smoothing

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MaRDI profile type

MaRDI publication profile

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Model equations for long waves in nonlinear dispersive systems

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Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces

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The initial-value problem for the Korteweg-de Vries equation

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation

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The Korteweg-de Vries equation at \(H^{-1}\) regularity

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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

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Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋

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Multilinear estimates for periodic KdV equations, and applications

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Symplectic nonsqueezing of the Korteweg-de Vries flow

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Applications of KdV

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Extension of the one-dimensional scattering theory, and ambiguities

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Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions

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Method for Solving the Korteweg-deVries Equation

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Gaps and bands of one dimensional periodic Schrödinger operators

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On the hierarchies of higher order mKdV and KdV equations

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Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)

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Rough solutions of the fifth-order KdV equations

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On the Scattering of a Particle by a Static Potential

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Birkhoff coordinates for KdV on phase spaces of distributions

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On the wellposedness of the KdV/KdV2 equations and their frequency maps

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Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\)

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Wave operators and similarity for some non-selfadjoint operators

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Smooth operators and commutators

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Well-posedness for the fifth-order KdV equation in the energy space

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Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation

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A bilinear estimate with applications to the KdV equation

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Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.

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Sum rules and spectral measures of Schrödinger operators with \(L^2\) potentials

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Low regularity conservation laws for integrable PDE

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Imbedded singular continuous spectrum for Schrödinger operators

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Conserved energies for the cubic nonlinear Schrödinger equation in one dimension

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Integrals of nonlinear equations of evolution and solitary waves

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A priori bounds for KdV equation below \(H^{- \frac{3}{4}}\)

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Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob

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A CHARACTERIZATION OF THE SPECTRUM OF HILL'S OPERATOR

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Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points

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The spectrum of Hill's equation

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Operator methods for inverse scattering on the real line

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Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

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Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

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A note on ill posedness for the KdV equation.

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Sharp ill-posedness results for the KdV and mKdV equations on the torus

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Remarks on the Korteweg-de Vries equation

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On the Korteweg - de Vries equation: Existence and uniqueness

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Sur un problème non linéaire

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The Cauchy Problem for the Korteweg–De Vries Equation with Measures as Initial Data

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Sur Certains Systemes Dynamiques Separables

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Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

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Convergence versus integrability in Birkhoff normal form

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.4007/ANNALS.2019.190.1.4

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Sitelinks

Mathematics(1 entry)

mardi Publication:2320609

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