On a class of solutions to the generalized KdV type equation

DOI10.1142/S0219199718500566zbMath1428.35456arXiv1802.07345OpenAlexW2963896174WikidataQ129523567 ScholiaQ129523567MaRDI QIDQ5237233

Felipe Linares, Gustavo Ponce, Hayato Miyazaki

Publication date: 17 October 2019

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07345

zbMATH Keywords

well-posednessgeneralized KdV equationpropagation of regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singularity in context of PDEs (35A21)

Related Items (9)

Local well-posedness for a fractional KdV-type equation ⋮ Well-posedness in weighted spaces for the generalized Hartree equation with p < 2 ⋮ Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity ⋮ On special regularity properties of solutions of the Benjamin-Ono-Zakharov-Kuznetsov (BO-ZK) equation ⋮ On the properties in solutions of the Shrira equation ⋮ \(L^2\)-decay rate for special solutions to critical dissipative nonlinear Schrödinger equations ⋮ Spatial behavior for NLS and applications to scattering ⋮ Local smooth solutions of the nonlinear Klein-Gordon equation ⋮ On the propagation of regularities in solutions of the fifth order Kadomtsev-Petviashvili II equation

Cites Work

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• On the orbital stability of Gaussian solitary waves in the log-KdV equation
• Local existence, global existence, and scattering for the nonlinear Schrödinger equation
• On the Propagation of Regularity and Decay of Solutions to thek-Generalized Korteweg-de Vries Equation
• On the Persistent Properties of Solutions to Semi-Linear Schrödinger Equation
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Introduction to nonlinear dispersive equations

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