Low regularity well-posedness for generalized Benjamin–Ono equations on the circle (Q5078246)

scientific article; zbMATH DE number 7530378

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English	Low regularity well-posedness for generalized Benjamin–Ono equations on the circle	scientific article; zbMATH DE number 7530378

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instance of

scholarly article

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title

Low regularity well-posedness for generalized Benjamin–Ono equations on the circle (English)

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Journal of Hyperbolic Differential Equations

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publication date

23 May 2022

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full work available at URL

https://arxiv.org/abs/2007.15505

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zbMATH Keywords

dispersive equation

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quasilinear equation

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generalized Benjamin-Ono equation

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short-time Fourier restriction

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periodic boundary conditions

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local well-posedness

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MaRDI profile type

MaRDI publication profile

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cites work

Nonlocal models for nonlinear, dispersive waves

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

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A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order

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Low regularity a priori bounds for the modified Korteweg-de Vries equation

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A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative

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Multilinear estimates for periodic KdV equations, and applications

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On the Integrability of the <scp>Benjamin‐Ono</scp> Equation on the Torus

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Local well-posedness and a priori bounds for the modified Benjamin-Ono equation

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Well-posedness in energy space for the periodic modified Benjamin-Ono equation

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Non-Existence of Solutions for the Periodic Cubic NLS below ${L}^{{2}}$

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Uniform well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation

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A bilinear oscillatory integral estimate and bilinear refinements to Strichartz estimates on closed manifolds

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A note on bilinear estimates and regularity of flow maps for nonlinear dispersive equations

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Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation

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Global well-posedness of the Benjamin–Ono equation in low-regularity spaces

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Global well-posedness of the KP-I initial-value problem in the energy space

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Local well-posedness and blow-up in the energy space for a class of $L^2$ critical dispersion generalized Benjamin-Ono equations

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Global wellposedness of the modified Benjamin-Ono equation with initial data in H1/2

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A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces

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Energy and local energy bounds for the 1-d cubic NLS equation in $H^{-\frac{1}{4}}$

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Local well-posedness for the fifth-order KdV equations on $\mathbb{T}$

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Low regularity Cauchy problem for the fifth-order modified KdV equations on 𝕋

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On the fifth-order KdV equation: Local well-posedness and lack of uniform continuity of the solution map

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Construction of a minimal mass blow up solution of the modified Benjamin-Ono equation

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Global well-posedness in the energy space for the Benjamin-Ono equation on the circle

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

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The Cauchy problem for the Benjamin-Ono equation in $L^{2}$ revisited

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Q4650700

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Well-posedness results for the generalized Benjamin-Ono equation with small initial data.

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Well-posedness in $H^1$ for generalized Benjamin-Ono equations on the circle

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Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations

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Improvement of the energy method for strongly nonresonant dispersive equations and applications

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On a priori estimates and existence of periodic solutions to the modified Benjamin-Ono equation below $H^{1 / 2}(\mathbb{T})$

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Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle

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On short-time bilinear Strichartz estimates and applications to the Shrira equation

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STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS

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Low regularity conservation laws for the Benjamin-Ono equation

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Q2725507

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GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H<sup>1</sup>(<b>R</b>)

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Pseudo differential operators

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Well-posedness for the Generalized Benjamin–Ono Equations with Arbitrary Large Initial Data in the Critical Space

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Identifiers

zbMATH Open document ID

1490.35071

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DOI

10.1142/S0219891621500272

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5078246