Sharp well-posedness results for the generalized Benjamin-Ono equation with high nonlinearity.

zbMath1240.35494arXivmath/0703640MaRDI QIDQ637002

Stéphane Vento

Publication date: 1 September 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703640

zbMATH Keywords

well-posednessinitial value problemill-posednessgeneralized Benjamin-Ono equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (5)

Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study ⋮ On the IVP for the k-Generalized Benjamin–Ono Equation ⋮ High order conservative schemes for the generalized Benjamin-Ono equation on the unbounded domain ⋮ Well-posedness and ill-posedness results for dissipative Benjamin-Ono equations ⋮ Uniqueness properties of solutions to the Benjamin-Ono equation and related models

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