Some results about a bidimensional version of the generalized BO

DOI10.3934/cpaa.2003.2.233zbMath1046.35088OpenAlexW2026759288MaRDI QIDQ1424090

Aniura Milanés

Publication date: 8 March 2004

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

Full work available at URL: https://doi.org/10.3934/cpaa.2003.2.233

zbMATH Keywords

solitary wavesglobal well-posednesslocal well-posednessnonlinear dispersive equationsnonlinear scatteringgeneralized Benjamin-Ono quationunique continuation principles

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55)

Related Items (4)

The Cauchy problem for dissipative Benjamin-Ono equation in weighted Sobolev spaces ⋮ Exact Controllability and Stabilization for Linear Dispersive PDE’s on the Two-Dimensional Torus ⋮ The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in weighted Sobolev spaces ⋮ Ill-posedness results for the (generalized) Benjamin-Ono-Zakharov-Kuznetsov equation

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