Local well-posedness for higher order nonlinear dispersive systems

DOI10.1007/BF02649104zbMath0884.35116MaRDI QIDQ1370723

Gigliola Staffilani, Carlos E. Kenig

Publication date: 2 February 1998

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

Full work available at URL: https://eudml.org/doc/59514

zbMATH Keywords

local well-posednesswater wave problemdecay estimateelastic medianonlinear dispersive system

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (6)

Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus ⋮ Well-posedness for a higher-order Benjamin-Ono equation ⋮ Well-posedness for KdV-type equations with quadratic nonlinearity ⋮ Local well-posedness for the super Korteweg-de Vries equation ⋮ Well-posedness of fully nonlinear KdV-type evolution equations ⋮ Large data local well-posedness for a class of KdV-type equations

Cites Work

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• Ordinary differential equations in \(R^ n\). Problems and methods. Transl. from the Italian by A. LoBello
• The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems
• On the derivative nonlinear Schrödinger equation
• Nonlinear differential equations and dynamical systems
• Remarks on nonlinear Schrödinger equations in one space dimension
• Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Higher-Order Nonlinear Dispersive Equations
• Integrals of nonlinear equations of evolution and solitary waves

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