On the cauchy problem for dispersive equations with nonlinear terms involving high derivatives and with arbitrarily large initial data

DOI10.1016/0362-546X(94)90052-3zbMath0843.35113OpenAlexW1968696210MaRDI QIDQ4302375

Thierry Colin

Publication date: 15 August 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90052-3

zbMATH Keywords

Cauchy problemnonlinearitylarge initial data

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for nonlinear first-order PDEs (35F25)

Cites Work

• Sur quelques généralisations de l'équation de Korteweg-de Vries
• Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Global, small amplitude solutions to nonlinear evolution equations
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