A remark on admissible triples for the generalized KdV equation

DOI10.1016/j.jmaa.2012.06.027zbMath1256.35113OpenAlexW1964036208MaRDI QIDQ450999

Xavier Carvajal

Publication date: 26 September 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.2012.06.027

zbMATH Keywords

a priori estimatesKorteweg-de Vries (KdV) equationglobal well-posedlinear estimates

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45)

Cites Work

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• Global rough solutions to the critical generalized KdV equation
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• A bilinear Airy-estimate with application to gKdV-3.
• Calderón-Zygmund theory for operator-valued kernels
• On the ill-posedness of some canonical dispersive equations.
• Existence of blow-up solutions in the energy space for the critical generalized KdV equation
• Global Well-Posedness for Schrödinger Equations with Derivative
• On the persistence properties of solutions of nonlinear dispersive equations in weighted Sobolev spaces
• Stability and instability of solitary waves of Korteweg-de Vries type
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative
• Global existence for the critical generalized KdV equation
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• A bilinear estimate with applications to the KdV equation
• On the Ill-Posedness of the IVP for the Generalized Korteweg-De Vries and Nonlinear Schrödinger Equations

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