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Sharp well-posedness for the Benjamin equation (Q640148)

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Language	Label	Description	Also known as
English	Sharp well-posedness for the Benjamin equation	scientific article

Statements

scholarly article

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Sharp well-posedness for the Benjamin equation (English)

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

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publication date

17 October 2011

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full work available at URL

https://arxiv.org/abs/0910.5157

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zbMATH Keywords

Benjamin equation

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bilinear estimate

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Bourgain space

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local and global well-posedness

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MaRDI profile type

MaRDI publication profile

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A Sharp Bilinear Estimate for the Bourgain-Type Space with Application to the Benjamin Equation

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A new kind of solitary wave

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Solitary-Wave Solutions of the Benjamin Equation

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Existence and stability of solitary wave solutions of the Benjamin equation

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Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations

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On generalized Benjamin type equations

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

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On well-posedness for the Benjamin-Ono equation

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations

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A bilinear estimate with applications to the KdV equation

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Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation

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Periodic Korteweg-de Vries equation with measures as initial data

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Remark on the local ill-posedness for KdV equation

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The well-posedness of the Korteweg-de Vries-Benjamin-Ono equation

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\(L^2\) global well-posedness of the initial value problem associated to the Benjamin equation

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Local and global results for wave maps I

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

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

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

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

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Decay estimates for a class of wave equations

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

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

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Global well-posedness and inviscid limit for the Korteweg-de Vries-Burgers equation

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Global well-posedness for the Benjamin equation in low regularity

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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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10.1016/J.NA.2011.06.002

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Sitelinks

Mathematics(1 entry)

mardi Publication:640148

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