Well-posedness for the Generalized Benjamin–Ono Equations with Arbitrary Large Initial Data in the Critical Space
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Publication:3402265
DOI10.1093/imrn/rnp133zbMath1184.35115arXiv0807.2193OpenAlexW2057313036MaRDI QIDQ3402265
Publication date: 2 February 2010
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.2193
Initial value problems for nonlinear higher-order PDEs (35G25) Integro-partial differential equations (35R09)
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Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study ⋮ On the IVP for the k-Generalized Benjamin–Ono Equation ⋮ Low regularity well-posedness for generalized Benjamin–Ono equations on the circle ⋮ The IVP for the Benjamin-Ono equation in weighted Sobolev spaces ⋮ On unique continuation for non-local dispersive models ⋮ On the propagation of regularities in solutions of the Benjamin-Ono equation ⋮ A note on the Cauchy problem for the 2D generalized Zakharov-Kuznetsov equations ⋮ Sharp asymptotic behavior of solutions to Benjamin-Ono type equations -- short range case ⋮ Uniqueness properties of solutions to the Benjamin-Ono equation and related models ⋮ Scattering for defocusing generalized Benjamin-Ono equation in the energy space $H^{\frac {1}{2}}(\mathbb {R})$
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