On the regularity of solutions to the 𝑘-generalized Korteweg-de Vries equation

DOI10.1090/proc/13506zbMath1394.35420arXiv1606.03715OpenAlexW2962969292MaRDI QIDQ4577151

Luis Vega, Felipe Linares, Carlos E. Kenig, Gustavo Ponce

Publication date: 17 July 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03715

zbMATH Keywords

nonlinear dispersive equationpropagation of regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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Cites Work

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• A bilinear Airy-estimate with application to gKdV-3.
• On the Propagation of Regularity and Decay of Solutions to thek-Generalized Korteweg-de Vries Equation
• Commutator estimates and the euler and navier-stokes equations
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• Introduction to nonlinear dispersive equations

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