The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space (Q6652148)

scientific article; zbMATH DE number 7957296

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English	The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space	scientific article; zbMATH DE number 7957296

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instance of

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title

The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space (English)

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Journal of Differential Equations

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publication date

12 December 2024

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zbMATH Keywords

generalized Korteweg-de Vries equation

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Fourier-Lebesgue space

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pointwise convergence

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MaRDI profile type

Publication

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cites work

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Extremizers for the Airy-Strichartz inequality

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Classical Fourier Analysis

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Local well-posedness for the modified KdV equation in almost critical $\widehat {H^r_s}$-spaces

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

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Analysis in Banach Spaces

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Q3974678

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Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

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The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

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A bilinear estimate with applications to the KdV equation

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On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.

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

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

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Small data scattering and soliton stability in $\dot{H}^{-1/6}$ for the quartic KdV equation

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Maximal Function Estimates and Local Well-Posedness for the Generalized Zakharov--Kuznetsov Equation

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The Cauchy problem for the <i>L</i><sup>2</sup>–critical generalized Zakharov-Kuznetsov equation in dimension 3

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On the well-posedness of the generalized Korteweg-de Vries equation in scale-critical lr-space

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Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg-de Vries equation

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On the Cauchy Problem for the Generalized Korteweg-de Vries Equation

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The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality

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

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Scattering for the quartic generalised Korteweg-de Vries equation

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Schrodinger Equations: Pointwise Convergence to the Initial Data

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Convergence problem of Schrödinger equation in Fourier-Lebesgue spaces with rough data and random data

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Long-time behavior of the solution of the Cauchy problem for the third-order Airy equation

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JDE.2024.10.007

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Sitelinks

Mathematics(1 entry)

mardi Publication:6652148