Local well-posedness of periodic fifth-order KdV-type equations

DOI10.1007/s12220-013-9443-4zbMath1321.35200arXiv1108.5394OpenAlexW2050728365MaRDI QIDQ2347925

Yi Hu, Xiaochun Li

Publication date: 10 June 2015

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5394

zbMATH Keywords

Strichartz inequalitieslocal well-posednessfifth order dispersive equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70)

Related Items (4)

Restriction estimates of \(\varepsilon\)-removal type for \(k\)-th powers and paraboloids ⋮ Well-posedness and ill-posedness for linear fifth-order dispersive equations in the presence of backwards diffusion ⋮ Restricted weak-type endpoint estimates for \(k\)-spherical maximal functions ⋮ A note on the discrete Fourier restriction problem

Cites Work

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• Discrete Fourier restriction associated with KdV equations
• Vinogradov's mean value theorem via efficient congruencing
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• On the Cauchy problem for periodic KdV-type equations
• Multilinear estimates for periodic KdV equations, and applications
• Discrete Fourier restriction associated with Schrödinger equations

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