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KdV and BO equations with bore-like data

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Publication:1854052
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zbMath1022.35059MaRDI QIDQ1854052

Rafael Jose jun. Iorio, Felipe Linares, Marcia Scialom

Publication date: 26 January 2003

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


zbMATH Keywords

Korteweg-de Vries equationBenjamin-Ono equationglobal well-posednessbore-like initial data


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Initial value problems for nonlinear higher-order PDEs (35G25)


Related Items (9)

On the Cauchy problem associated with the Brinkman flow in ⋮ The IVP for the Benjamin-Ono equation in weighted Sobolev spaces ⋮ Local well-posedness for the gKdV equation on the background of a bounded function ⋮ Global well-posedness for \(H^{-1}(\mathbb{R})\) perturbations of KdV with exotic spatial asymptotics ⋮ The Cauchy problem for dissipative Benjamin-Ono equation in weighted Sobolev spaces ⋮ On the well-posedness of dispersive-dissipative one dimensional equations with non decaying initial data ⋮ Modulation solutions for the Benjamin-Ono equation ⋮ Benjamin-Ono equation with unbounded data ⋮ KdV on an incoming tide




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