Maximal function estimates with applications to a modified Kadomtsev-Petviashvili equation

DOI10.3934/cpaa.2005.4.45zbMath1084.35072OpenAlexW2038537379MaRDI QIDQ1779030

Carlos E. Kenig, Sarah Ziesler

Publication date: 21 June 2005

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2005.4.45

zbMATH Keywords

well-posednessmodified Kadomtsev-Petviashvili I equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Maximal functions, Littlewood-Paley theory (42B25) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99)

Related Items (6)

On special regularity properties of solutions of the Benjamin-Ono-Zakharov-Kuznetsov (BO-ZK) equation ⋮ Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations ⋮ Local and global well-posedness for the 2D generalized Zakharov-Kuznetsov equation ⋮ On the nonlinear Dysthe equation ⋮ Global well-posedness in the energy space for a modified KP II equation via the Miura transform ⋮ A remark on the well-posedness of a degenerated Zakharov system

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