Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle (Q1988395)

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

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instance of

scholarly article

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title

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

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author

Robert Schippa

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published in

Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

23 April 2020

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full work available at URL

https://arxiv.org/abs/1906.01956

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zbMATH Keywords

dispersive equations

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short-time Fourier restriction norm method

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modified energies

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periodic boundary conditions

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MaRDI profile type

MaRDI publication profile

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cites work

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Internal waves of permanent form in fluids of great depth

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

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Local well-posedness for dispersion generalized Benjamin-Ono equations in Sobolev spaces

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Rough solutions of the fifth-order KdV equations

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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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Well-posedness for equations of Benjamin-Ono type

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

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

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

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A bilinear estimate with applications to the KdV equation

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KdV is well-posed in $H^{-1}$

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

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Q4808272

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

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Global well-posedness in L2 for the periodic Benjamin-Ono equation

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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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On well-posedness for some dispersive perturbations of Burgers' equation

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

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Algebraic Solitary Waves in Stratified Fluids

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Generalized inhomogeneous Strichartz estimates

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Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations

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GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H1(R)

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Q5475508

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Identifiers

zbMATH Open document ID

1441.35007

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DOI

10.1016/j.na.2020.111777

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1988395