Large data local well-posedness for a class of KdV-type equations

DOI10.1090/S0002-9947-2014-05882-0zbMath1312.35151arXiv1110.5402MaRDI QIDQ5496612

Benjamin Harrop-Griffiths

Publication date: 2 February 2015

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

Full work available at URL: https://arxiv.org/abs/1110.5402

zbMATH Keywords

Cauchy problemwell-posednessSchrödinger equationslarge dataAiry-type equation

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (3)

Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus ⋮ Well-posedness for KdV-type equations with quadratic nonlinearity ⋮ Well-posedness of fully nonlinear KdV-type evolution equations

Cites Work

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• On the wellposed Cauchy problem for some dispersive equations
• Local well-posedness of quasi-linear systems generalizing KdV
• Higher-Order Nonlinear Dispersive Equations
• Introduction to nonlinear dispersive equations

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