Quadratic dispersive generalized Benjamin-Ono equation

DOI10.1016/j.jmaa.2011.09.040zbMath1268.35100OpenAlexW2095030130MaRDI QIDQ655488

Yu-Zhao Wang

Publication date: 4 January 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.040

zbMATH Keywords

Benjamin-Ono equationdispersive generalizedsharp well-posedness

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ill-posed problems for PDEs (35R25) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

• Unnamed Item
• Unnamed Item
• Local well-posedness and blow-up in the energy space for a class of \(L^2\) critical dispersion generalized Benjamin-Ono equations
• Local well-posedness for dispersion generalized Benjamin-Ono equations in Sobolev spaces
• Lax pairs and higher order models for water waves
• Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation
• Low-regularity bilinear estimates for a quadratic nonlinear Schrödinger equation
• Global well-posedness of the KP-I initial-value problem in the energy space
• Well-posedness for equations of Benjamin-Ono type
• Global well-posedness and inviscid limit for the Korteweg-de Vries-Burgers equation
• Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
• Low regularity solutions of two fifth-order KdV type equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Periodic Korteweg-de Vries equation with measures as initial data
• Strichartz estimates for dispersive equations and solvability of the Kawahara equation
• Local well-posedness for dispersion-generalized Benjamin-Ono equations
• Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
• A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations
• Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: the real line case
• Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Local and global results for wave maps I
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Higher-Order Nonlinear Dispersive Equations
• GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H¹(R)
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• A bilinear estimate with applications to the KdV equation
• Quadratic forms for the 1-D semilinear Schrödinger equation

This page was built for publication: Quadratic dispersive generalized Benjamin-Ono equation